Search a number
-
+
22535328 = 253234743
BaseRepresentation
bin101010111110…
…1110010100000
31120101220122210
41111331302200
521232112303
62123002120
7362355444
oct125756240
946356583
1022535328
11117a2142
127669340
13489041a
142dc8824
151ea2203
hex157dca0

22535328 has 24 divisors (see below), whose sum is σ = 59155488. Its totient is φ = 7511744.

The previous prime is 22535327. The next prime is 22535333. The reversal of 22535328 is 82353522.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×225353283 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22535295 and 22535304.

It is not an unprimeable number, because it can be changed into a prime (22535321) 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 3 ways as a sum of consecutive naturals, for example, 117276 + ... + 117467.

It is an arithmetic number, because the mean of its divisors is an integer number (2464812).

Almost surely, 222535328 is an apocalyptic number.

It is an amenable number.

22535328 is an abundant number, since it is smaller than the sum of its proper divisors (36620160).

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

22535328 is a wasteful number, since it uses less digits than its factorization.

22535328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234756 (or 234748 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 22535328 is about 4747.1389278175. The cubic root of 22535328 is about 282.4584866036.

It can be divided in two parts, 225 and 35328, that added together give a palindrome (35553).

The spelling of 22535328 in words is "twenty-two million, five hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 234743 469486 704229 938972 1408458 1877944 2816916 3755888 5633832 7511776 11267664 22535328