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22221210112 = 291032111997
BaseRepresentation
bin10100101100011111…
…001100001000000000
32010100122010102200221
4110230133030020000
5331002112210422
614112553352424
71414443112063
oct245437141000
963318112627
1022221210112
119473326062
124381a08714
13213192444a
14110b2c48da
158a0c773c7
hex52c7cc200

22221210112 has 80 divisors (see below), whose sum is σ = 45065097792. Its totient is φ = 10945105920.

The previous prime is 22221210107. The next prime is 22221210131. The reversal of 22221210112 is 21101212222.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11126298 + ... + 11128294.

Almost surely, 222221210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532548896).

22221210112 is an abundant number, since it is smaller than the sum of its proper divisors (22843887680).

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

22221210112 is a wasteful number, since it uses less digits than its factorization.

22221210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2313 counting only the distinct ones).

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

Adding to 22221210112 its reverse (21101212222), we get a palindrome (43322422334).

It can be divided in two parts, 222212 and 10112, that added together give a square (232324 = 4822).

The spelling of 22221210112 in words is "twenty-two billion, two hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 206 211 256 412 422 512 824 844 1648 1688 1997 3296 3376 3994 6592 6752 7988 13184 13504 15976 21733 26368 27008 31952 43466 52736 54016 63904 86932 108032 127808 173864 205691 255616 347728 411382 421367 511232 695456 822764 842734 1022464 1390912 1645528 1685468 2781824 3291056 3370936 5563648 6582112 6741872 11127296 13164224 13483744 26328448 26967488 43400801 52656896 53934976 86801602 105313792 107869952 173603204 215739904 347206408 694412816 1388825632 2777651264 5555302528 11110605056 22221210112