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22263252 = 22311227743
BaseRepresentation
bin101010011101…
…1010111010100
31112220002102220
41110323113110
521144411002
62113102340
7360143304
oct124732724
945802386
1022263252
1111626790
1275579b0
1347c662b
142d57604
151e4b7bc
hex153b5d4

22263252 has 48 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 6707680.

The previous prime is 22263223. The next prime is 22263259. The reversal of 22263252 is 25236222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22263259) 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, 29593 + ... + 30335.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 222263252 is an apocalyptic number.

22263252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22263252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

22263252 is an abundant number, since it is smaller than the sum of its proper divisors (34733100).

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

22263252 is a wasteful number, since it uses less digits than its factorization.

22263252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 986 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 22263252 is about 4718.3950661215. The cubic root of 22263252 is about 281.3171446602.

Adding to 22263252 its reverse (25236222), we get a palindrome (47499474).

The spelling of 22263252 in words is "twenty-two million, two hundred sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 743 908 1362 1486 2229 2497 2724 2972 4458 4994 7491 8173 8916 9988 14982 16346 24519 29964 32692 49038 98076 168661 337322 505983 674644 1011966 1855271 2023932 3710542 5565813 7421084 11131626 22263252