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10220172160 = 275111451729
BaseRepresentation
bin10011000010010101…
…10111001110000000
3222101021001112112211
421201022313032000
5131412331002120
64410045431504
7511160013202
oct114112671600
928337045484
1010220172160
114375025680
121b9286b594
13c6b4b8363
146cd4b6772
153ec39e25a
hex2612b7380

10220172160 has 64 divisors (see below), whose sum is σ = 26653762800. Its totient is φ = 3716423680.

The previous prime is 10220172133. The next prime is 10220172169. The reversal of 10220172160 is 6127102201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220172169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718825 + ... + 732904.

Almost surely, 210220172160 is an apocalyptic number.

10220172160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220172160 is an abundant number, since it is smaller than the sum of its proper divisors (16433590640).

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

10220172160 is a wasteful number, since it uses less digits than its factorization.

10220172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451759 (or 1451747 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 10220172160 its reverse (6127102201), we get a palindrome (16347274361).

The spelling of 10220172160 in words is "ten billion, two hundred twenty million, one hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1451729 2903458 5806916 7258645 11613832 14517290 15969019 23227664 29034580 31938038 46455328 58069160 63876076 79845095 92910656 116138320 127752152 159690190 185821312 232276640 255504304 319380380 464553280 511008608 638760760 929106560 1022017216 1277521520 2044034432 2555043040 5110086080 10220172160