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22160928 = 2531737367
BaseRepresentation
bin101010010001…
…0011000100000
31112200220002010
41110202120200
521133122203
62110552520
7356236056
oct124423040
945626063
1022160928
1111566919
127508740
13478bb9a
142d2c1d6
151e2b303
hex1522620

22160928 has 96 divisors (see below), whose sum is σ = 63431424. Its totient is φ = 6746112.

The previous prime is 22160893. The next prime is 22160933. The reversal of 22160928 is 82906122.

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

It is a super-2 number, since 2×221609282 = 982213459642368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22160895 and 22160904.

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, 60201 + ... + 60567.

It is an arithmetic number, because the mean of its divisors is an integer number (660744).

Almost surely, 222160928 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 22160928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31715712).

22160928 is an abundant number, since it is smaller than the sum of its proper divisors (41270496).

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

22160928 is a wasteful number, since it uses less digits than its factorization.

22160928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 22160928 is about 4707.5394846990. The cubic root of 22160928 is about 280.8854959992.

The spelling of 22160928 in words is "twenty-two million, one hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 102 111 136 148 204 222 272 296 367 408 444 544 592 629 734 816 888 1101 1184 1258 1468 1632 1776 1887 2202 2516 2936 3552 3774 4404 5032 5872 6239 7548 8808 10064 11744 12478 13579 15096 17616 18717 20128 24956 27158 30192 35232 37434 40737 49912 54316 60384 74868 81474 99824 108632 149736 162948 199648 217264 230843 299472 325896 434528 461686 598944 651792 692529 923372 1303584 1385058 1846744 2770116 3693488 5540232 7386976 11080464 22160928