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22530984 = 233741723
BaseRepresentation
bin101010111110…
…0101110101000
31120101200200220
41111330232220
521231442414
62122530040
7362340000
oct125745650
946350626
1022530984
1111799953
127666920
13488b458
142dc7000
151ea0ca9
hex157cba8

22530984 has 160 divisors (see below), whose sum is σ = 72601920. Its totient is φ = 5795328.

The previous prime is 22530983. The next prime is 22530997. The reversal of 22530984 is 48903522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22530983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 979597 + ... + 979619.

It is an arithmetic number, because the mean of its divisors is an integer number (453762).

Almost surely, 222530984 is an apocalyptic number.

22530984 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 22530984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36300960).

22530984 is an abundant number, since it is smaller than the sum of its proper divisors (50070936).

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

22530984 is a wasteful number, since it uses less digits than its factorization.

22530984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 22530984 is about 4746.6813670184. The cubic root of 22530984 is about 282.4403361612.

The spelling of 22530984 in words is "twenty-two million, five hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 49 51 56 68 69 84 92 98 102 119 136 138 147 161 168 184 196 204 238 276 294 322 343 357 391 392 408 476 483 552 588 644 686 714 782 833 952 966 1029 1127 1173 1176 1288 1372 1428 1564 1666 1932 2058 2254 2346 2401 2499 2737 2744 2856 3128 3332 3381 3864 4116 4508 4692 4802 4998 5474 5831 6664 6762 7203 7889 8211 8232 9016 9384 9604 9996 10948 11662 13524 14406 15778 16422 17493 19159 19208 19992 21896 23324 23667 27048 28812 31556 32844 34986 38318 40817 46648 47334 55223 57477 57624 63112 65688 69972 76636 81634 94668 110446 114954 122451 134113 139944 153272 163268 165669 189336 220892 229908 244902 268226 326536 331338 402339 441784 459816 489804 536452 662676 804678 938791 979608 1072904 1325352 1609356 1877582 2816373 3218712 3755164 5632746 7510328 11265492 22530984