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22212110000 = 245417912409
BaseRepresentation
bin10100101011111100…
…011110011010110000
32010100000000002200202
4110223330132122300
5330442300010000
614112030334332
71414302551123
oct245374363260
963300002622
1022212110000
119469180003
12437a95a3a8
13212ca89372
141109dd63ba
158a007add5
hex52bf1e6b0

22212110000 has 100 divisors (see below), whose sum is σ = 54082531800. Its totient is φ = 8834496000.

The previous prime is 22212109979. The next prime is 22212110017. The reversal of 22212110000 is 1121222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1783796 + ... + 1796204.

It is an arithmetic number, because the mean of its divisors is an integer number (540825318).

Almost surely, 222212110000 is an apocalyptic number.

22212110000 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 22212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27041265900).

22212110000 is an abundant number, since it is smaller than the sum of its proper divisors (31870421800).

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

22212110000 is a wasteful number, since it uses less digits than its factorization.

22212110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616 (or 12595 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22212110000 its reverse (1121222), we get a palindrome (22213231222).

The spelling of 22212110000 in words is "twenty-two billion, two hundred twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 179 200 250 358 400 500 625 716 895 1000 1250 1432 1790 2000 2500 2864 3580 4475 5000 7160 8950 10000 12409 14320 17900 22375 24818 35800 44750 49636 62045 71600 89500 99272 111875 124090 179000 198544 223750 248180 310225 358000 447500 496360 620450 895000 992720 1240900 1551125 1790000 2221211 2481800 3102250 4442422 4963600 6204500 7755625 8884844 11106055 12409000 15511250 17769688 22212110 24818000 31022500 35539376 44424220 55530275 62045000 88848440 111060550 124090000 177696880 222121100 277651375 444242200 555302750 888484400 1110605500 1388256875 2221211000 2776513750 4442422000 5553027500 11106055000 22212110000