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22528680 = 23351941241
BaseRepresentation
bin101010111110…
…0001010101000
31120101120112120
41111330022220
521231404210
62122511240
7362330166
oct125741250
946346476
1022528680
1111798149
127665520
13488a3a5
142dc6236
151ea0270
hex157c2a8

22528680 has 128 divisors (see below), whose sum is σ = 73180800. Its totient is φ = 5529600.

The previous prime is 22528631. The next prime is 22528717. The reversal of 22528680 is 8682522.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93360 + ... + 93600.

It is an arithmetic number, because the mean of its divisors is an integer number (571725).

Almost surely, 222528680 is an apocalyptic number.

22528680 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 22528680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36590400).

22528680 is an abundant number, since it is smaller than the sum of its proper divisors (50652120).

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

22528680 is a wasteful number, since it uses less digits than its factorization.

22528680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 22528680 is about 4746.4386649361. The cubic root of 22528680 is about 282.4307084605.

The spelling of 22528680 in words is "twenty-two million, five hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 41 57 60 76 82 95 114 120 123 152 164 190 205 228 241 246 285 328 380 410 456 482 492 570 615 723 760 779 820 964 984 1140 1205 1230 1446 1558 1640 1928 2280 2337 2410 2460 2892 3116 3615 3895 4579 4674 4820 4920 5784 6232 7230 7790 9158 9348 9640 9881 11685 13737 14460 15580 18316 18696 19762 22895 23370 27474 28920 29643 31160 36632 39524 45790 46740 49405 54948 59286 68685 79048 91580 93480 98810 109896 118572 137370 148215 183160 187739 197620 237144 274740 296430 375478 395240 549480 563217 592860 750956 938695 1126434 1185720 1501912 1877390 2252868 2816085 3754780 4505736 5632170 7509560 11264340 22528680