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22180920288 = 2537119716519
BaseRepresentation
bin10100101010000101…
…011111101111100000
32010020211022111110020
4110222011133233200
5330411303422123
614104554033440
71413443466042
oct245205375740
963224274406
1022180920288
11945260778a
124370418880
132126488a07
141105bd7a92
1589c4697e3
hex52a15fbe0

22180920288 has 96 divisors (see below), whose sum is σ = 59348298240. Its totient is φ = 7252062720.

The previous prime is 22180920277. The next prime is 22180920319. The reversal of 22180920288 is 88202908122.

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

It is a super-2 number, since 2×221809202882 (a number of 21 digits) contains 22 as substring.

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, 1334493 + ... + 1351011.

It is an arithmetic number, because the mean of its divisors is an integer number (618211440).

Almost surely, 222180920288 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 22180920288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29674149120).

22180920288 is an abundant number, since it is smaller than the sum of its proper divisors (37167377952).

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

22180920288 is a wasteful number, since it uses less digits than its factorization.

22180920288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800 (or 16792 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 22180920288 in words is "twenty-two billion, one hundred eighty million, nine hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 197 213 284 394 426 568 591 788 852 1136 1182 1576 1704 2272 2364 3152 3408 4728 6304 6816 9456 13987 16519 18912 27974 33038 41961 49557 55948 66076 83922 99114 111896 132152 167844 198228 223792 264304 335688 396456 447584 528608 671376 792912 1172849 1342752 1585824 2345698 3254243 3518547 4691396 6508486 7037094 9382792 9762729 13016972 14074188 18765584 19525458 26033944 28148376 37531168 39050916 52067888 56296752 78101832 104135776 112593504 156203664 231051253 312407328 462102506 693153759 924205012 1386307518 1848410024 2772615036 3696820048 5545230072 7393640096 11090460144 22180920288