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22328904 = 23313591213
BaseRepresentation
bin101010100101…
…1011001001000
31120000102111110
41111023121020
521204011104
62114330320
7360535563
oct125133110
946012443
1022328904
1111671044
1275899a0
13481a490
142d734da
151e60e89
hex154b648

22328904 has 64 divisors (see below), whose sum is σ = 61185600. Its totient is φ = 6748416.

The previous prime is 22328879. The next prime is 22328941. The reversal of 22328904 is 40982322.

It is a super-3 number, since 3×223289043 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17802 + ... + 19014.

It is an arithmetic number, because the mean of its divisors is an integer number (956025).

Almost surely, 222328904 is an apocalyptic number.

22328904 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 22328904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30592800).

22328904 is an abundant number, since it is smaller than the sum of its proper divisors (38856696).

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

22328904 is a wasteful number, since it uses less digits than its factorization.

22328904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 22328904 is about 4725.3469713874. The cubic root of 22328904 is about 281.5933982289.

It can be divided in two parts, 22328 and 904, that added together give a palindrome (23232).

The spelling of 22328904 in words is "twenty-two million, three hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1213 1416 1534 2301 2426 3068 3639 4602 4852 6136 7278 9204 9704 14556 15769 18408 29112 31538 47307 63076 71567 94614 126152 143134 189228 214701 286268 378456 429402 572536 858804 930371 1717608 1860742 2791113 3721484 5582226 7442968 11164452 22328904