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22213120000 = 212548677
BaseRepresentation
bin10100101100000000…
…010101000000000000
32010100001220102011011
4110230000111000000
5330443024320000
614112104130304
71414314255541
oct245400250000
963301812134
1022213120000
1194697aa915
12437b166994
132130050cb6
14110a1ba4c8
158a01ca2ba
hex52c015000

22213120000 has 130 divisors (see below), whose sum is σ = 55514649938. Its totient is φ = 8884224000.

The previous prime is 22213119983. The next prime is 22213120009. The reversal of 22213120000 is 2131222.

It can be written as a sum of positive squares in 5 ways, for example, as 11437019136 + 10776100864 = 106944^2 + 103808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213120009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2555662 + ... + 2564338.

Almost surely, 222213120000 is an apocalyptic number.

22213120000 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 22213120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757324969).

22213120000 is an abundant number, since it is smaller than the sum of its proper divisors (33301529938).

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

22213120000 is an frugal number, since it uses more digits than its factorization.

22213120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8721 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 22213120000 its reverse (2131222), we get a palindrome (22215251222).

The spelling of 22213120000 in words is "twenty-two billion, two hundred thirteen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 8677 10000 10240 12800 16000 17354 20000 20480 25600 32000 34708 40000 43385 51200 64000 69416 80000 86770 102400 128000 138832 160000 173540 216925 256000 277664 320000 347080 433850 512000 555328 640000 694160 867700 1084625 1110656 1280000 1388320 1735400 2169250 2221312 2560000 2776640 3470800 4338500 4442624 5423125 5553280 6941600 8677000 8885248 10846250 11106560 13883200 17354000 17770496 21692500 22213120 27766400 34708000 35540992 43385000 44426240 55532800 69416000 86770000 88852480 111065600 138832000 173540000 177704960 222131200 277664000 347080000 444262400 555328000 694160000 888524800 1110656000 1388320000 2221312000 2776640000 4442624000 5553280000 11106560000 22213120000