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12232152 = 2332169891
BaseRepresentation
bin101110101010…
…010111011000
3212000110100200
4232222113120
511112412102
61114102200
7205654152
oct56522730
925013320
1012232152
1169a5219
12411a960
1326c387a
1418a5ad2
15111951c
hexbaa5d8

12232152 has 24 divisors (see below), whose sum is σ = 33128940. Its totient is φ = 4077360.

The previous prime is 12232151. The next prime is 12232169. The reversal of 12232152 is 25123221.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×122321522 = 299251085102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84874 + ... + 85017.

Almost surely, 212232152 is an apocalyptic number.

12232152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12232152 is an abundant number, since it is smaller than the sum of its proper divisors (20896788).

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

12232152 is a wasteful number, since it uses less digits than its factorization.

12232152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169903 (or 169896 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12232152 is about 3497.4493563167. The cubic root of 12232152 is about 230.4098049936.

Adding to 12232152 its reverse (25123221), we get a palindrome (37355373).

It can be divided in two parts, 1223 and 2152, that added together give a cube (3375 = 153).

The spelling of 12232152 in words is "twelve million, two hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 169891 339782 509673 679564 1019346 1359128 1529019 2038692 3058038 4077384 6116076 12232152