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22968540 = 22325718229
BaseRepresentation
bin101011110011…
…1100011011100
31121012220220200
41113213203130
521334443130
62140143500
7366141450
oct127474334
947186820
1022968540
1111a68671
127837b90
1349b266a
14309c660
15203a760
hex15e78dc

22968540 has 72 divisors (see below), whose sum is σ = 79628640. Its totient is φ = 5249664.

The previous prime is 22968521. The next prime is 22968553. The reversal of 22968540 is 4586922.

It is a happy number.

22968540 is a `hidden beast` number, since 22 + 96 + 8 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22968495 and 22968504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7855 + ... + 10374.

Almost surely, 222968540 is an apocalyptic number.

22968540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22968540 is an abundant number, since it is smaller than the sum of its proper divisors (56660100).

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

22968540 is a wasteful number, since it uses less digits than its factorization.

22968540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18251 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 22968540 is about 4792.5504692178. The cubic root of 22968540 is about 284.2569749729.

The spelling of 22968540 in words is "twenty-two million, nine hundred sixty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 18229 36458 54687 72916 91145 109374 127603 164061 182290 218748 255206 273435 328122 364580 382809 510412 546870 638015 656244 765618 820305 1093740 1148427 1276030 1531236 1640610 1914045 2296854 2552060 3281220 3828090 4593708 5742135 7656180 11484270 22968540