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22345246304 = 2523149203761
BaseRepresentation
bin10100110011111000…
…010110011001100000
32010200021112010100222
4110303320112121200
5331230340340204
614133144102212
71420510313453
oct246370263140
963607463328
1022345246304
119527344307
1243b7464968
132151532544
14111d97149a
158abac8abe
hex533e16660

22345246304 has 48 divisors (see below), whose sum is σ = 46213221600. Its totient is φ = 10615080960.

The previous prime is 22345246303. The next prime is 22345246337. The reversal of 22345246304 is 40364254322.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22345246303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7784 + ... + 211544.

It is an arithmetic number, because the mean of its divisors is an integer number (962775450).

Almost surely, 222345246304 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 22345246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23106610800).

22345246304 is an abundant number, since it is smaller than the sum of its proper divisors (23867975296).

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

22345246304 is a wasteful number, since it uses less digits than its factorization.

22345246304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203943 (or 203935 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

The spelling of 22345246304 in words is "twenty-two billion, three hundred forty-five million, two hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 149 184 298 368 596 736 1192 2384 3427 4768 6854 13708 27416 54832 109664 203761 407522 815044 1630088 3260176 4686503 6520352 9373006 18746012 30360389 37492024 60720778 74984048 121441556 149968096 242883112 485766224 698288947 971532448 1396577894 2793155788 5586311576 11172623152 22345246304