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12232900 = 2252149821
BaseRepresentation
bin101110101010…
…100011000100
3212000111101101
4232222203010
511112423100
61114105444
7205656301
oct56524304
925014341
1012232900
1169a5839
12411b284
1326c4004
1418a60a8
15111986a
hexbaa8c4

12232900 has 36 divisors (see below), whose sum is σ = 26756100. Its totient is φ = 4854400.

The previous prime is 12232897. The next prime is 12232901. The reversal of 12232900 is 923221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2585664 + 9647236 = 1608^2 + 3106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14490 + ... + 15310.

It is an arithmetic number, because the mean of its divisors is an integer number (743225).

Almost surely, 212232900 is an apocalyptic number.

12232900 is a gapful number since it is divisible by the number (10) 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 12232900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378050).

12232900 is an abundant number, since it is smaller than the sum of its proper divisors (14523200).

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

12232900 is a wasteful number, since it uses less digits than its factorization.

12232900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 12232900 is about 3497.5562897543. The cubic root of 12232900 is about 230.4145014423.

The spelling of 12232900 in words is "twelve million, two hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 821 1490 1642 2980 3284 3725 4105 7450 8210 14900 16420 20525 41050 82100 122329 244658 489316 611645 1223290 2446580 3058225 6116450 12232900