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22928242560 = 273556321211
BaseRepresentation
bin10101010110101000…
…010011011110000000
32012011220112101212220
4111112220103132000
5333424112230220
614311051451040
71441116563136
oct252650233600
965156471786
1022928242560
1197a6438aa3
12453a756a80
132215256742
14117716d756
158e2d88540
hex556a13780

22928242560 has 128 divisors (see below), whose sum is σ = 73217036160. Its totient is φ = 6103050240.

The previous prime is 22928242559. The next prime is 22928242583. The reversal of 22928242560 is 6524282922.

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

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, 1070355 + ... + 1091565.

It is an arithmetic number, because the mean of its divisors is an integer number (572008095).

Almost surely, 222928242560 is an apocalyptic number.

22928242560 is a gapful number since it is divisible by the number (20) 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 22928242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36608518080).

22928242560 is an abundant number, since it is smaller than the sum of its proper divisors (50288793600).

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

22928242560 is a wasteful number, since it uses less digits than its factorization.

22928242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21796 (or 21784 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 22928242560 in words is "twenty-two billion, nine hundred twenty-eight million, two hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 563 640 960 1126 1689 1920 2252 2815 3378 4504 5630 6756 8445 9008 11260 13512 16890 18016 21211 22520 27024 33780 36032 42422 45040 54048 63633 67560 72064 84844 90080 106055 108096 127266 135120 169688 180160 212110 216192 254532 270240 318165 339376 360320 424220 509064 540480 636330 678752 848440 1018128 1080960 1272660 1357504 1696880 2036256 2545320 2715008 3393760 4072512 5090640 6787520 8145024 10181280 11941793 13575040 20362560 23883586 35825379 40725120 47767172 59708965 71650758 95534344 119417930 143301516 179126895 191068688 238835860 286603032 358253790 382137376 477671720 573206064 716507580 764274752 955343440 1146412128 1433015160 1528549504 1910686880 2292824256 2866030320 3821373760 4585648512 5732060640 7642747520 11464121280 22928242560