234203200 has 168 divisors, whose sum is σ = 718864704. Its totient is φ = 72960000.

The previous prime is 234203197. The next prime is 234203201. The reversal of 234203200 is 2302432.

It is a super-2 number, since 2×234203200² = 109702277780480000, which contains 22 as substring.

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 (234203201) 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, 122250 + ... + 124150.

Almost surely, 2^234203200 is an apocalyptic number.

234203200 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 234203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359432352).

234203200 is an abundant number, since it is smaller than the sum of its proper divisors (484661504).

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

234203200 is a wasteful number, since it uses less digits than its factorization.

234203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 234203200 is about 15303.6988992858. The cubic root of 234203200 is about 616.4023345644.

Adding to 234203200 its reverse (2302432), we get a palindrome (236505632).

The spelling of 234203200 in words is "two hundred thirty-four million, two hundred three thousand, two hundred".