Search a number
-
+
9229060624 = 2472472732
BaseRepresentation
bin10001001100001100…
…00100101000010000
3212211012002212010011
420212012010220100
5122400114414444
64123442444304
7444463502200
oct104606045020
925735085104
109229060624
113a06622933
121956963694
13b41070b24
14637a00400
15390376734
hex226184a10

9229060624 has 135 divisors (see below), whose sum is σ = 21547806957. Its totient is φ = 3818126592.

The previous prime is 9229060619. The next prime is 9229060637. The reversal of 9229060624 is 4260609229.

It is a happy number.

The square root of 9229060624 is 96068.

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

It can be written as a sum of positive squares in only one way, i.e., 5238864400 + 3990196224 = 72380^2 + 63168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126425452 + ... + 126425524.

Almost surely, 29229060624 is an apocalyptic number.

9229060624 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

9229060624 is the 96068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9229060624

9229060624 is an abundant number, since it is smaller than the sum of its proper divisors (12318746333).

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

9229060624 is an equidigital number, since it uses as much as digits as its factorization.

9229060624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 9229060624 is about 2097.5830563821.

The spelling of 9229060624 in words is "nine billion, two hundred twenty-nine million, sixty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 73 94 98 112 146 188 196 292 329 376 392 511 584 658 752 784 1022 1168 1316 2044 2209 2303 2632 3431 3577 4088 4418 4606 5264 5329 6862 7154 8176 8836 9212 10658 13724 14308 15463 17672 18424 21316 24017 27448 28616 30926 35344 36848 37303 42632 48034 54896 57232 61852 74606 85264 96068 108241 123704 149212 161257 168119 192136 216482 247408 250463 261121 298424 322514 336238 384272 432964 500926 522242 596848 645028 672476 865928 1001852 1044484 1128799 1290056 1344952 1731856 1753241 2003704 2088968 2257598 2580112 2689904 3506482 4007408 4177936 4515196 7012964 7901593 9030392 11771761 12272687 14025928 15803186 18060784 23543522 24545374 28051856 31606372 47087044 49090748 63212744 82402327 94174088 98181496 126425488 164804654 188348176 196362992 329609308 576816289 659218616 1153632578 1318437232 2307265156 4614530312 9229060624