231629200 has 120 divisors (see below), whose sum is σ = 617746176. Its totient is φ = 82752000.

The previous prime is 231629191. The next prime is 231629201. The reversal of 231629200 is 2926132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (231629201) 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 23 ways as a sum of consecutive naturals, for example, 267969 + ... + 268831.

Almost surely, 2^231629200 is an apocalyptic number.

231629200 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 231629200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308873088).

231629200 is an abundant number, since it is smaller than the sum of its proper divisors (386116976).

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

231629200 is a wasteful number, since it uses less digits than its factorization.

231629200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 231629200 is about 15219.3692379152. The cubic root of 231629200 is about 614.1358299231.

The spelling of 231629200 in words is "two hundred thirty-one million, six hundred twenty-nine thousand, two hundred".