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22887252 = 2233732903
BaseRepresentation
bin101011101001…
…1101101010100
31121001210102000
41113103231110
521324343002
62134315300
7365352453
oct127235524
947053360
1022887252
1111a12593
1277b8b30
13498466b
14307ab9a
15202161c
hex15d3b54

22887252 has 48 divisors (see below), whose sum is σ = 60170880. Its totient is φ = 7521984.

The previous prime is 22887251. The next prime is 22887257. The reversal of 22887252 is 25278822.

It is a super-2 number, since 2×228872522 = 1047652608223008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22887251) 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, 6433 + ... + 9335.

It is an arithmetic number, because the mean of its divisors is an integer number (1253560).

Almost surely, 222887252 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 22887252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30085440).

22887252 is an abundant number, since it is smaller than the sum of its proper divisors (37283628).

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

22887252 is a wasteful number, since it uses less digits than its factorization.

22887252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2981 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 22887252 is about 4784.0622905644. The cubic root of 22887252 is about 283.9212404759.

The spelling of 22887252 in words is "twenty-two million, eight hundred eighty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 2903 3942 5806 7884 8709 11612 17418 26127 34836 52254 78381 104508 156762 211919 313524 423838 635757 847676 1271514 1907271 2543028 3814542 5721813 7629084 11443626 22887252