234730229760 has 312 divisors, whose sum is σ = 876228162264. Its totient is φ = 57779159040.

The previous prime is 234730229759. The next prime is 234730229791. The reversal of 234730229760 is 67922037432.

234730229760 is a `hidden beast` number, since 234 + 73 + 0 + 2 + 297 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71368704 + 234658861056 = 8448^2 + 484416^2 .

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347180 + ... + 2445140.

It is an arithmetic number, because the mean of its divisors is an integer number (2808423597).

Almost surely, 2^234730229760 is an apocalyptic number.

234730229760 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 234730229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438114081132).

234730229760 is an abundant number, since it is smaller than the sum of its proper divisors (641497932504).

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

234730229760 is a wasteful number, since it uses less digits than its factorization.

234730229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98009 (or 97984 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 234730229760 in words is "two hundred thirty-four billion, seven hundred thirty million, two hundred twenty-nine thousand, seven hundred sixty".