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222212121100000 = 25553428364817
BaseRepresentation
bin110010100001100111001010…
…100010101111111011100000
31002010210021022210012210000021
4302201213022202233323200
5213111210411000200000
62104334501132003224
764543203340420453
oct6241471242577340
91063707283183007
10222212121100000
11648926a4337189
1220b0a245900514
1396cb6893ab465
143cc31a455549a
151aa53a956911a
hexca19ca8afee0

222212121100000 has 144 divisors (see below), whose sum is σ = 546839529936336. Its totient is φ = 88880884480000.

The previous prime is 222212121099953. The next prime is 222212121100033. The reversal of 222212121100000 is 1121212222.

It is a happy number.

222212121100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2222121211000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3428267592 + ... + 3428332408.

It is an arithmetic number, because the mean of its divisors is an integer number (3797496735669).

Almost surely, 2222212121100000 is an apocalyptic number.

222212121100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222212121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273419764968168).

222212121100000 is an abundant number, since it is smaller than the sum of its proper divisors (324627408836336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222212121100000 is an frugal number, since it uses more digits than its factorization.

222212121100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99135 (or 99107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222212121100000 its reverse (1121212222), we get a palindrome (222213242312222).

The spelling of 222212121100000 in words is "two hundred twenty-two trillion, two hundred twelve billion, one hundred twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 34283 50000 64817 68566 100000 129634 137132 171415 259268 274264 324085 342830 518536 548528 648170 685660 857075 1037072 1097056 1296340 1371320 1620425 1714150 2074144 2592680 2742640 3240850 3428300 4285375 5185360 5485280 6481700 6856600 8102125 8570750 10370720 12963400 13713200 16204250 17141500 21426875 25926800 27426400 32408500 34283000 40510625 42853750 51853600 64817000 68566000 81021250 85707500 107134375 129634000 137132000 162042500 171415000 202553125 214268750 259268000 324085000 342830000 405106250 428537500 648170000 685660000 810212500 857075000 1296340000 1620425000 1714150000 2222121211 3240850000 3428300000 4444242422 6481700000 8888484844 11110606055 17776969688 22221212110 35553939376 44442424220 55553030275 71107878752 88884848440 111106060550 177769696880 222212121100 277765151375 355539393760 444424242200 555530302750 888848484400 1111060605500 1388825756875 1777696968800 2222121211000 2777651513750 4444242422000 5555303027500 6944128784375 8888484844000 11110606055000 13888257568750 22221212110000 27776515137500 44442424220000 55553030275000 111106060550000 222212121100000