234315200 has 84 divisors (see below), whose sum is σ = 658959312. Its totient is φ = 80332800.

The previous prime is 234315197. The next prime is 234315217. The reversal of 234315200 is 2513432.

It is a happy number.

It is a super-2 number, since 2×234315200² = 109807225902080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740 + ... + 21660.

Almost surely, 2^234315200 is an apocalyptic number.

234315200 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 234315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329479656).

234315200 is an abundant number, since it is smaller than the sum of its proper divisors (424644112).

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

234315200 is a wasteful number, since it uses less digits than its factorization.

234315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20950 (or 20935 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 234315200 is about 15307.3577079782. The cubic root of 234315200 is about 616.5005769731.

Adding to 234315200 its reverse (2513432), we get a palindrome (236828632).

The spelling of 234315200 in words is "two hundred thirty-four million, three hundred fifteen thousand, two hundred".