233083146240 has 416 divisors, whose sum is σ = 947031624960. Its totient is φ = 53275262976.

The previous prime is 233083146229. The next prime is 233083146269. The reversal of 233083146240 is 42641380332.

233083146240 is a `hidden beast` number, since 2 + 330 + 8 + 314 + 6 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×233083146240² (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 junction number, because it is equal to n+sod(n) for n = 233083146195 and 233083146204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3840612 + ... + 3900828.

Almost surely, 2^233083146240 is an apocalyptic number.

233083146240 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 233083146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473515812480).

233083146240 is an abundant number, since it is smaller than the sum of its proper divisors (713948478720).

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

233083146240 is an equidigital number, since it uses as much as digits as its factorization.

233083146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60262 (or 60234 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 233083146240 in words is "two hundred thirty-three billion, eighty-three million, one hundred forty-six thousand, two hundred forty".