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22528332 = 223217131281
BaseRepresentation
bin101010111110…
…0000101001100
31120101120001200
41111330011030
521231401312
62122505500
7362326161
oct125740514
946346050
1022528332
1111797962
127665290
13488a198
142dc6068
151ea00dc
hex157c14c

22528332 has 72 divisors (see below), whose sum is σ = 60972912. Its totient is φ = 6988800.

The previous prime is 22528321. The next prime is 22528361. The reversal of 22528332 is 23382522.

It is a junction number, because it is equal to n+sod(n) for n = 22528296 and 22528305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80032 + ... + 80312.

It is an arithmetic number, because the mean of its divisors is an integer number (846846).

Almost surely, 222528332 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 22528332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30486456).

22528332 is an abundant number, since it is smaller than the sum of its proper divisors (38444580).

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

22528332 is a wasteful number, since it uses less digits than its factorization.

22528332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 434 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 22528332 is about 4746.4020057302. The cubic root of 22528332 is about 282.4292542194.

The spelling of 22528332 in words is "twenty-two million, five hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 281 306 393 524 562 612 786 843 1124 1179 1572 1686 2227 2358 2529 3372 4454 4716 4777 5058 6681 8908 9554 10116 13362 14331 19108 20043 26724 28662 36811 40086 42993 57324 73622 80172 85986 110433 147244 171972 220866 331299 441732 625787 662598 1251574 1325196 1877361 2503148 3754722 5632083 7509444 11264166 22528332