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22252164 = 22311295813
BaseRepresentation
bin101010011100…
…0101010000100
31112212112020020
41110320222010
521144032124
62112535140
7360066054
oct124705204
945775206
1022252164
1111619420
1275514b0
1347c157c
142d53564
151e48379
hex1538a84

22252164 has 48 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 6509440.

The previous prime is 22252163. The next prime is 22252177. The reversal of 22252164 is 46125222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22252163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922 + ... + 6734.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 222252164 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 22252164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

22252164 is an abundant number, since it is smaller than the sum of its proper divisors (36352956).

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

22252164 is a wasteful number, since it uses less digits than its factorization.

22252164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5858 counting only the distinct ones).

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

The square root of 22252164 is about 4717.2199439924. The cubic root of 22252164 is about 281.2704344659.

Adding to 22252164 its reverse (46125222), we get a palindrome (68377386).

The spelling of 22252164 in words is "twenty-two million, two hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 5813 11626 17439 23252 34878 63943 69756 127886 168577 191829 255772 337154 383658 505731 674308 767316 1011462 1854347 2022924 3708694 5563041 7417388 11126082 22252164