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23322202112 = 21211247057
BaseRepresentation
bin10101101110000111…
…001001000000000000
32020012100211121210102
4111232013021000000
5340230440431422
614414123421532
71453642306226
oct255607110000
966170747712
1023322202112
119988858700
12462a6848a8
132278a617c1
1411b3600b16
15917757192
hex56e1c9000

23322202112 has 78 divisors (see below), whose sum is σ = 51265126374. Its totient is φ = 10600775680.

The previous prime is 23322202109. The next prime is 23322202117. The reversal of 23322202112 is 21120222332.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 14155288576 + 9166913536 = 118976^2 + 95744^2 .

It is a super-2 number, since 2×233222021122 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23322202117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472088 + ... + 519144.

Almost surely, 223322202112 is an apocalyptic number.

23322202112 is a gapful number since it is divisible by the number (22) 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 23322202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25632563187).

23322202112 is an abundant number, since it is smaller than the sum of its proper divisors (27942924262).

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

23322202112 is an equidigital number, since it uses as much as digits as its factorization.

23322202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47103 (or 47070 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23322202112 its reverse (21120222332), we get a palindrome (44442424444).

It can be divided in two parts, 2332220 and 2112, that added together give a palindrome (2334332).

The spelling of 23322202112 in words is "twenty-three billion, three hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5632 7744 11264 15488 22528 30976 45056 47057 61952 94114 123904 188228 247808 376456 495616 517627 752912 1035254 1505824 2070508 3011648 4141016 5693897 6023296 8282032 11387794 12046592 16564064 22775588 24093184 33128128 45551176 48186368 66256256 91102352 96372736 132512512 182204704 192745472 265025024 364409408 530050048 728818816 1060100096 1457637632 2120200192 2915275264 5830550528 11661101056 23322202112