234052250432 has 224 divisors, whose sum is σ = 624827320320. Its totient is φ = 84008171520.

The previous prime is 234052250371. The next prime is 234052250449.

234052250432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35039669 + ... + 35046347.

It is an arithmetic number, because the mean of its divisors is an integer number (2789407680).

Almost surely, 2^234052250432 is an apocalyptic number.

234052250432 is a gapful number since it is divisible by the number (22) 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 234052250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312413660160).

234052250432 is an abundant number, since it is smaller than the sum of its proper divisors (390775069888).

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

234052250432 is a wasteful number, since it uses less digits than its factorization.

234052250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

It can be divided in two parts, 234052 and 250432, that added together give a palindrome (484484).

The spelling of 234052250432 in words is "two hundred thirty-four billion, fifty-two million, two hundred fifty thousand, four hundred thirty-two".