232701905840 has 120 divisors (see below), whose sum is σ = 560298096960. Its totient is φ = 89869271040.

The previous prime is 232701905803. The next prime is 232701905861. The reversal of 232701905840 is 48509107232.

232701905840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232701905840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13035641 + ... + 13053479.

It is an arithmetic number, because the mean of its divisors is an integer number (4669150808).

Almost surely, 2^232701905840 is an apocalyptic number.

232701905840 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 232701905840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280149048480).

232701905840 is an abundant number, since it is smaller than the sum of its proper divisors (327596191120).

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

232701905840 is a wasteful number, since it uses less digits than its factorization.

232701905840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18031 (or 17984 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 232701905840 in words is "two hundred thirty-two billion, seven hundred one million, nine hundred five thousand, eight hundred forty".