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231323200 = 2652144577
BaseRepresentation
bin11011100100110…
…11011001000000
3121010021102202221
431302123121000
5433204320300
634542020424
75506133443
oct1562333100
9533242687
10231323200
111096375a9
1265577714
1338c03644
1422a1765a
151549531a
hexdc9b640

231323200 has 42 divisors (see below), whose sum is σ = 569203586. Its totient is φ = 92528640.

The previous prime is 231323177. The next prime is 231323201. The reversal of 231323200 is 2323132.

It can be written as a sum of positive squares in 3 ways, for example, as 1982464 + 229340736 = 1408^2 + 15144^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (231323201) 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, 70689 + ... + 73888.

Almost surely, 2231323200 is an apocalyptic number.

231323200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231323200 is an abundant number, since it is smaller than the sum of its proper divisors (337880386).

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

231323200 is a wasteful number, since it uses less digits than its factorization.

231323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144599 (or 144584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 231323200 is about 15209.3129364873. The cubic root of 231323200 is about 613.8652705125.

Adding to 231323200 its reverse (2323132), we get a palindrome (233646332).

The spelling of 231323200 in words is "two hundred thirty-one million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 144577 289154 578308 722885 1156616 1445770 2313232 2891540 3614425 4626464 5783080 7228850 9252928 11566160 14457700 23132320 28915400 46264640 57830800 115661600 231323200