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22443098112 = 2153325367
BaseRepresentation
bin10100111001101101…
…101000000000000000
32010221002122111211000
4110321231220000000
5331430413114422
614151001252000
71423106120631
oct247155500000
963832574730
1022443098112
1195775a8876
124424194000
1321688a3316
14112c963888
158b54a6cac
hex539b68000

22443098112 has 128 divisors (see below), whose sum is σ = 66499675200. Its totient is φ = 7480737792.

The previous prime is 22443098089. The next prime is 22443098149. The reversal of 22443098112 is 21189034422.

22443098112 is a `hidden beast` number, since 2 + 24 + 430 + 98 + 112 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872053 + ... + 897419.

Almost surely, 222443098112 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 22443098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33249837600).

22443098112 is an abundant number, since it is smaller than the sum of its proper divisors (44056577088).

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

22443098112 is an frugal number, since it uses more digits than its factorization.

22443098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25406 (or 25372 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22443098112 in words is "twenty-two billion, four hundred forty-three million, ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 6144 6912 8192 9216 12288 13824 16384 18432 24576 25367 27648 32768 36864 49152 50734 55296 73728 76101 98304 101468 110592 147456 152202 202936 221184 228303 294912 304404 405872 442368 456606 608808 684909 811744 884736 913212 1217616 1369818 1623488 1826424 2435232 2739636 3246976 3652848 4870464 5479272 6493952 7305696 9740928 10958544 12987904 14611392 19481856 21917088 25975808 29222784 38963712 43834176 51951616 58445568 77927424 87668352 103903232 116891136 155854848 175336704 207806464 233782272 311709696 350673408 415612928 467564544 623419392 701346816 831225856 935129088 1246838784 1402693632 1870258176 2493677568 2805387264 3740516352 5610774528 7481032704 11221549056 22443098112