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22165531104 = 2535310143133
BaseRepresentation
bin10100101001001010…
…110010100111100000
32010012202100122110110
4110221022302213200
5330343333443404
614103244131320
71413165622443
oct245112624740
963182318413
1022165531104
119444956652
124367236b40
13212322b1a2
141103b4d65a
1589ae29b89
hex5292b29e0

22165531104 has 96 divisors (see below), whose sum is σ = 59870682144. Its totient is φ = 7177164800.

The previous prime is 22165531057. The next prime is 22165531117. The reversal of 22165531104 is 40113556122.

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

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, 492322 + ... + 535454.

It is an arithmetic number, because the mean of its divisors is an integer number (623652939).

Almost surely, 222165531104 is an apocalyptic number.

22165531104 is a gapful number since it is divisible by the number (24) 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 22165531104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29935341072).

22165531104 is an abundant number, since it is smaller than the sum of its proper divisors (37705151040).

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

22165531104 is a wasteful number, since it uses less digits than its factorization.

22165531104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43300 (or 43292 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 22165531104 in words is "twenty-two billion, one hundred sixty-five million, five hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 101 106 159 202 212 303 318 404 424 606 636 808 848 1212 1272 1616 1696 2424 2544 3232 4848 5088 5353 9696 10706 16059 21412 32118 42824 43133 64236 85648 86266 128472 129399 171296 172532 256944 258798 345064 513888 517596 690128 1035192 1380256 2070384 2286049 4140768 4356433 4572098 6858147 8712866 9144196 13069299 13716294 17425732 18288392 26138598 27432588 34851464 36576784 52277196 54865176 69702928 73153568 104554392 109730352 139405856 209108784 219460704 230890949 418217568 461781898 692672847 923563796 1385345694 1847127592 2770691388 3694255184 5541382776 7388510368 11082765552 22165531104