Search a number
-
+
22425262304 = 254321177239
BaseRepresentation
bin10100111000101001…
…100101100011100000
32010212212002100200112
4110320221211203200
5331411331343204
614145123110452
71422501404324
oct247051454340
963785070615
1022425262304
119568526535
12441a212428
132164c99ca3
14112a43d984
158b3b3226e
hex538a658e0

22425262304 has 48 divisors (see below), whose sum is σ = 45391167360. Its totient is φ = 10899826560.

The previous prime is 22425262283. The next prime is 22425262351. The reversal of 22425262304 is 40326252422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251717 + ... + 328955.

It is an arithmetic number, because the mean of its divisors is an integer number (945649320).

Almost surely, 222425262304 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 22425262304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22695583680).

22425262304 is an abundant number, since it is smaller than the sum of its proper divisors (22965905056).

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

22425262304 is a wasteful number, since it uses less digits than its factorization.

22425262304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77503 (or 77495 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The spelling of 22425262304 in words is "twenty-two billion, four hundred twenty-five million, two hundred sixty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 86 172 211 344 422 688 844 1376 1688 3376 6752 9073 18146 36292 72584 77239 145168 154478 290336 308956 617912 1235824 2471648 3321277 6642554 13285108 16297429 26570216 32594858 53140432 65189716 106280864 130379432 260758864 521517728 700789447 1401578894 2803157788 5606315576 11212631152 22425262304