231451200 has 126 divisors (see below), whose sum is σ = 822683394. Its totient is φ = 61716480.

The previous prime is 231451189. The next prime is 231451211. The reversal of 231451200 is 2154132.

It is an interprime number because it is at equal distance from previous prime (231451189) and next prime (231451211).

It can be written as a sum of positive squares in 3 ways, for example, as 1382976 + 230068224 = 1176^2 + 15168^2 .

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

It is a nialpdrome in base 16.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 6364 + ... + 22436.

Almost surely, 2^231451200 is an apocalyptic number.

231451200 is a gapful number since it is divisible by the number (20) 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 231451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411341697).

231451200 is an abundant number, since it is smaller than the sum of its proper divisors (591232194).

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

231451200 is a wasteful number, since it uses less digits than its factorization.

231451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16101 (or 16083 counting only the distinct ones).

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

The square root of 231451200 is about 15213.5203026781. The cubic root of 231451200 is about 613.9784747022.

The spelling of 231451200 in words is "two hundred thirty-one million, four hundred fifty-one thousand, two hundred".