234253330000 has 100 divisors (see below), whose sum is σ = 570960749700. Its totient is φ = 93071872000.

The previous prime is 234253329967. The next prime is 234253330007. The reversal of 234253330000 is 33352432.

It can be written as a sum of positive squares in 10 ways, for example, as 219930985024 + 14322344976 = 468968^2 + 119676^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234253330007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1411392 + ... + 1568608.

It is an arithmetic number, because the mean of its divisors is an integer number (5709607497).

Almost surely, 2^234253330000 is an apocalyptic number.

234253330000 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 234253330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285480374850).

234253330000 is an abundant number, since it is smaller than the sum of its proper divisors (336707419700).

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

234253330000 is a wasteful number, since it uses less digits than its factorization.

234253330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157394 (or 157373 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

Adding to 234253330000 its reverse (33352432), we get a palindrome (234286682432).

The spelling of 234253330000 in words is "two hundred thirty-four billion, two hundred fifty-three million, three hundred thirty thousand".