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22133952 = 263312809
BaseRepresentation
bin101010001101…
…1110011000000
31112122112002000
41110123303000
521131241302
62110224000
7356064321
oct124336300
945575060
1022133952
1111548625
1274b5000
13477c819
142d22448
151e2331c
hex151bcc0

22133952 has 56 divisors (see below), whose sum is σ = 65074800. Its totient is φ = 7377408.

The previous prime is 22133921. The next prime is 22133959. The reversal of 22133952 is 25933122.

It is a super-2 number, since 2×221339522 = 979823662276608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22133959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4677 + ... + 8132.

It is an arithmetic number, because the mean of its divisors is an integer number (1162050).

Almost surely, 222133952 is an apocalyptic number.

It is an amenable number.

22133952 is an abundant number, since it is smaller than the sum of its proper divisors (42940848).

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

22133952 is a wasteful number, since it uses less digits than its factorization.

22133952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12814 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 22133952 is about 4704.6734211845. The cubic root of 22133952 is about 280.7714778539.

The spelling of 22133952 in words is "twenty-two million, one hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 12809 25618 38427 51236 76854 102472 115281 153708 204944 230562 307416 345843 409888 461124 614832 691686 819776 922248 1229664 1383372 1844496 2459328 2766744 3688992 5533488 7377984 11066976 22133952