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22325152 = 251973503
BaseRepresentation
bin101010100101…
…0011110100000
31120000020100111
41111022132200
521203401102
62114301104
7360521623
oct125123640
946006314
1022325152
1111669243
127587794
134818865
142d71dba
151e5ecd7
hex154a7a0

22325152 has 48 divisors (see below), whose sum is σ = 46992960. Its totient is φ = 10409472.

The previous prime is 22325123. The next prime is 22325153. The reversal of 22325152 is 25152322.

It is a super-3 number, since 3×223251523 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22325153) 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, 44133 + ... + 44635.

It is an arithmetic number, because the mean of its divisors is an integer number (979020).

Almost surely, 222325152 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 22325152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496480).

22325152 is an abundant number, since it is smaller than the sum of its proper divisors (24667808).

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

22325152 is a wasteful number, since it uses less digits than its factorization.

22325152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 22325152 is about 4724.9499468248. The cubic root of 22325152 is about 281.5776249870.

Adding to 22325152 its reverse (25152322), we get a palindrome (47477474).

The spelling of 22325152 in words is "twenty-two million, three hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 73 76 146 152 292 304 503 584 608 1006 1168 1387 2012 2336 2774 4024 5548 8048 9557 11096 16096 19114 22192 36719 38228 44384 73438 76456 146876 152912 293752 305824 587504 697661 1175008 1395322 2790644 5581288 11162576 22325152