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22161355392 = 2731131169243
BaseRepresentation
bin10100101000111010…
…110111001010000000
32010012110111111110110
4110220322313022000
5330341301333032
614103014431320
71413115261401
oct245072671200
963173444413
1022161355392
119442564350
124365962540
1321223c8657
1411033839a8
1589a8a27cc
hex528eb7280

22161355392 has 128 divisors (see below), whose sum is σ = 66289489920. Its totient is φ = 6498892800.

The previous prime is 22161355339. The next prime is 22161355399. The reversal of 22161355392 is 29355316122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×221613553922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22161355392.

It is not an unprimeable number, because it can be changed into a prime (22161355399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46323 + ... + 215565.

It is an arithmetic number, because the mean of its divisors is an integer number (517886640).

Almost surely, 222161355392 is an apocalyptic number.

22161355392 is a gapful number since it is divisible by the number (22) 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 22161355392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33144744960).

22161355392 is an abundant number, since it is smaller than the sum of its proper divisors (44128134528).

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

22161355392 is a wasteful number, since it uses less digits than its factorization.

22161355392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169302 (or 169290 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The spelling of 22161355392 in words is "twenty-two billion, one hundred sixty-one million, three hundred fifty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 264 341 352 372 384 496 528 682 704 744 992 1023 1056 1364 1408 1488 1984 2046 2112 2728 2976 3968 4092 4224 5456 5952 8184 10912 11904 16368 21824 32736 43648 65472 130944 169243 338486 507729 676972 1015458 1353944 1861673 2030916 2707888 3723346 4061832 5246533 5415776 5585019 7446692 8123664 10493066 10831552 11170038 14893384 15739599 16247328 20986132 21663104 22340076 29786768 31479198 32494656 41972264 44680152 57711863 59573536 62958396 64989312 83944528 89360304 115423726 119147072 125916792 167889056 173135589 178720608 230847452 238294144 251833584 335778112 346271178 357441216 461694904 503667168 671556224 692542356 714882432 923389808 1007334336 1385084712 1846779616 2014668672 2770169424 3693559232 5540338848 7387118464 11080677696 22161355392