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22528230 = 23517163271
BaseRepresentation
bin101010111110…
…0000011100110
31120101112220220
41111330003212
521231400410
62122505210
7362325654
oct125740346
946345826
1022528230
111179787a
127665206
13488a11a
142dc5dd4
151ea0070
hex157c0e6

22528230 has 64 divisors (see below), whose sum is σ = 57811968. Its totient is φ = 5598720.

The previous prime is 22528217. The next prime is 22528237. The reversal of 22528230 is 3282522.

It is a super-2 number, since 2×225282302 = 1015042293865800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22528230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22528237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82995 + ... + 83265.

It is an arithmetic number, because the mean of its divisors is an integer number (903312).

Almost surely, 222528230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22528230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28905984).

22528230 is an abundant number, since it is smaller than the sum of its proper divisors (35283738).

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

22528230 is a wasteful number, since it uses less digits than its factorization.

22528230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22528230 is about 4746.3912607369. The cubic root of 22528230 is about 282.4288279735.

The spelling of 22528230 in words is "twenty-two million, five hundred twenty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 163 170 255 271 326 489 510 542 813 815 978 1355 1626 1630 2445 2710 2771 4065 4607 4890 5542 8130 8313 9214 13821 13855 16626 23035 27642 27710 41565 44173 46070 69105 83130 88346 132519 138210 220865 265038 441730 662595 750941 1325190 1501882 2252823 3754705 4505646 7509410 11264115 22528230