Search a number
-
+
22344104412 = 22327616314387
BaseRepresentation
bin10100110011110011…
…111111100111011100
32010200012101002222200
4110303303333213130
5331230042320122
614133103411500
71420464516360
oct246363774734
963605332880
1022344104412
1195267343a3
1243b6bb3b90
132151222876
14111d7552a0
158ab9505ac
hex533cff9dc

22344104412 has 72 divisors (see below), whose sum is σ = 64564596096. Its totient is φ = 6382550304.

The previous prime is 22344104407. The next prime is 22344104477. The reversal of 22344104412 is 21440144322.

22344104412 is a `hidden beast` number, since 2 + 234 + 4 + 10 + 4 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545883 + ... + 1560269.

Almost surely, 222344104412 is an apocalyptic number.

It is an amenable number.

22344104412 is an abundant number, since it is smaller than the sum of its proper divisors (42220491684).

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

22344104412 is a wasteful number, since it uses less digits than its factorization.

22344104412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20567 (or 20562 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22344104412 its reverse (21440144322), we get a palindrome (43784248734).

It can be divided in two parts, 22344 and 104412, that added together give a triangular number (126756 = T503).

The spelling of 22344104412 in words is "twenty-two billion, three hundred forty-four million, one hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 6163 12326 14387 18489 24652 28774 36978 43141 43161 55467 57548 73956 86282 86322 100709 110934 129423 129483 172564 172644 201418 221868 258846 258966 302127 388269 402836 517692 517932 604254 776538 906381 1208508 1553076 1812762 3625524 88667081 177334162 266001243 354668324 532002486 620669567 798003729 1064004972 1241339134 1596007458 1862008701 2482678268 3192014916 3724017402 5586026103 7448034804 11172052206 22344104412