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22225252 = 22729101271
BaseRepresentation
bin101010011001…
…0000101100100
31112211011022111
41110302011210
521142202002
62112210404
7356624440
oct124620544
945734274
1022225252
1111600185
127539a04
1347b224a
142d47820
151e403d7
hex1532164

22225252 has 48 divisors (see below), whose sum is σ = 46609920. Its totient is φ = 9072000.

The previous prime is 22225211. The next prime is 22225277. The reversal of 22225252 is 25252222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81877 + ... + 82147.

It is an arithmetic number, because the mean of its divisors is an integer number (971040).

Almost surely, 222225252 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 22225252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304960).

22225252 is an abundant number, since it is smaller than the sum of its proper divisors (24384668).

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

22225252 is a wasteful number, since it uses less digits than its factorization.

22225252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its digits is 1600, while the sum is 22.

The square root of 22225252 is about 4714.3665534195. The cubic root of 22225252 is about 281.1569982544.

Adding to 22225252 its reverse (25252222), we get a palindrome (47477474).

The spelling of 22225252 in words is "twenty-two million, two hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 58 101 116 202 203 271 404 406 542 707 812 1084 1414 1897 2828 2929 3794 5858 7588 7859 11716 15718 20503 27371 31436 41006 54742 55013 82012 109484 110026 191597 220052 383194 766388 793759 1587518 3175036 5556313 11112626 22225252