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22394523904 = 284721992
BaseRepresentation
bin10100110110110100…
…010101000100000000
32010210201020200112021
4110312310111010000
5331330444231104
614142104211224
71421646212104
oct246664250400
963721220467
1022394523904
1195521412a5
12440ba69b14
13215b7c6b9c
14112631b904
158b10ae754
hex536d15100

22394523904 has 81 divisors (see below), whose sum is σ = 45903567927. Its totient is φ = 10903951872.

The previous prime is 22394523889. The next prime is 22394523913. The reversal of 22394523904 is 40932549322.

The square root of 22394523904 is 149648.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 112535197 + ... + 112535395.

Almost surely, 222394523904 is an apocalyptic number.

22394523904 is the 149648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22394523904

22394523904 is an abundant number, since it is smaller than the sum of its proper divisors (23509044023).

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

22394523904 is an frugal number, since it uses more digits than its factorization.

22394523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 22394523904 in words is "twenty-two billion, three hundred ninety-four million, five hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 199 256 376 398 752 796 1504 1592 2209 3008 3184 4418 6016 6368 8836 9353 12032 12736 17672 18706 25472 35344 37412 39601 50944 70688 74824 79202 141376 149648 158404 282752 299296 316808 439591 565504 598592 633616 879182 1197184 1267232 1758364 1861247 2394368 2534464 3516728 3722494 5068928 7033456 7444988 10137856 14066912 14889976 28133824 29779952 56267648 59559904 87478609 112535296 119119808 174957218 238239616 349914436 476479232 699828872 1399657744 2799315488 5598630976 11197261952 22394523904