231879200 has 144 divisors (see below), whose sum is σ = 661457664. Its totient is φ = 77721600.

The previous prime is 231879199. The next prime is 231879223. The reversal of 231879200 is 2978132.

231879200 = T₂₃₉ + T₂₄₀ + ... + T₁₁₁₉.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 262760 + ... + 263640.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2^231879200 is an apocalyptic number.

231879200 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 231879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330728832).

231879200 is an abundant number, since it is smaller than the sum of its proper divisors (429578464).

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

231879200 is a wasteful number, since it uses less digits than its factorization.

231879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 231879200 is about 15227.5802411283. The cubic root of 231879200 is about 614.3566983824.

It can be divided in two parts, 2318 and 79200, that added together give a palindrome (81518).

The spelling of 231879200 in words is "two hundred thirty-one million, eight hundred seventy-nine thousand, two hundred".