233900215920 has 640 divisors, whose sum is σ = 971552102400. Its totient is φ = 50526830592.

The previous prime is 233900215847. The next prime is 233900215951. The reversal of 233900215920 is 29512009332.

It is a super-2 number, since 2×233900215920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170356354 + ... + 170357726.

It is an arithmetic number, because the mean of its divisors is an integer number (1518050160).

Almost surely, 2^233900215920 is an apocalyptic number.

233900215920 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 233900215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485776051200).

233900215920 is an abundant number, since it is smaller than the sum of its proper divisors (737651886480).

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

233900215920 is a wasteful number, since it uses less digits than its factorization.

233900215920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 233900215920 in words is "two hundred thirty-three billion, nine hundred million, two hundred fifteen thousand, nine hundred twenty".