234193800 has 48 divisors (see below), whose sum is σ = 726002640. Its totient is φ = 62451520.

The previous prime is 234193777. The next prime is 234193801. The reversal of 234193800 is 8391432.

234193800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (234193801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194562 + ... + 195761.

It is an arithmetic number, because the mean of its divisors is an integer number (15125055).

Almost surely, 2^234193800 is an apocalyptic number.

234193800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234193800 is an abundant number, since it is smaller than the sum of its proper divisors (491808840).

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

234193800 is a wasteful number, since it uses less digits than its factorization.

234193800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390342 (or 390333 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 234193800 is about 15303.3917809092. The cubic root of 234193800 is about 616.3940877948.

It can be divided in two parts, 2341 and 93800, that added together give a triangular number (96141 = T₄₃₈).

The spelling of 234193800 in words is "two hundred thirty-four million, one hundred ninety-three thousand, eight hundred".