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22314541122 = 2341737218989
BaseRepresentation
bin10100110010000011…
…001110000001000010
32010121010202010210000
4110302003032001002
5331200010303442
614130130020430
71416655320126
oct246203160102
963533663700
1022314541122
119510a82025
1243a9117716
1321480715b3
14111985b586
158a9060d4c
hex5320ce042

22314541122 has 80 divisors (see below), whose sum is σ = 54373465080. Its totient is φ = 6811402752.

The previous prime is 22314541079. The next prime is 22314541133. The reversal of 22314541122 is 22114541322.

22314541122 is a `hidden beast` number, since 223 + 1 + 4 + 5 + 411 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20223399681 + 2091141441 = 142209^2 + 45729^2 .

It is a super-3 number, since 3×223145411223 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7597 + ... + 211392.

Almost surely, 222314541122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22314541122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27186732540).

22314541122 is an abundant number, since it is smaller than the sum of its proper divisors (32058923958).

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

22314541122 is a wasteful number, since it uses less digits than its factorization.

22314541122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219057 (or 219048 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The spelling of 22314541122 in words is "twenty-two billion, three hundred fourteen million, five hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 153 162 222 306 333 459 629 666 918 999 1258 1377 1887 1998 2754 2997 3774 5661 5994 11322 16983 33966 50949 101898 218989 437978 656967 1313934 1970901 3722813 3941802 5912703 7445626 8102593 11168439 11825406 16205186 17738109 22336878 24307779 33505317 35476218 48615558 67010634 72923337 100515951 137744081 145846674 201031902 218770011 275488162 301547853 413232243 437540022 603095706 656310033 826464486 1239696729 1312620066 2479393458 3719090187 7438180374 11157270561 22314541122