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22290374496 = 2531365927103
BaseRepresentation
bin10100110000100111…
…000001111101100000
32010112110021100101210
4110300213001331200
5331122313440441
614123504030120
71416243025365
oct246047017540
963473240353
1022290374496
1194a9376305
1243a1002340
13214305c810
14111656a46c
158a6d8a616
hex5309c1f60

22290374496 has 96 divisors (see below), whose sum is σ = 63111121920. Its totient is φ = 6847916544.

The previous prime is 22290374479. The next prime is 22290374501. The reversal of 22290374496 is 69447309222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808881 + ... + 835983.

It is an arithmetic number, because the mean of its divisors is an integer number (657407520).

Almost surely, 222290374496 is an apocalyptic number.

22290374496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22290374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31555560960).

22290374496 is an abundant number, since it is smaller than the sum of its proper divisors (40820747424).

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

22290374496 is a wasteful number, since it uses less digits than its factorization.

22290374496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27788 (or 27780 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 22290374496 in words is "twenty-two billion, two hundred ninety million, three hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 659 1248 1318 1977 2636 3954 5272 7908 8567 10544 15816 17134 21088 25701 27103 31632 34268 51402 54206 63264 68536 81309 102804 108412 137072 162618 205608 216824 274144 325236 352339 411216 433648 650472 704678 822432 867296 1057017 1300944 1409356 2114034 2601888 2818712 4228068 5637424 8456136 11274848 16912272 17860877 33824544 35721754 53582631 71443508 107165262 142887016 214330524 232191401 285774032 428661048 464382802 571548064 696574203 857322096 928765604 1393148406 1714644192 1857531208 2786296812 3715062416 5572593624 7430124832 11145187248 22290374496