233006540 has 48 divisors (see below), whose sum is σ = 543970560. Its totient is φ = 83255040.

The previous prime is 233006531. The next prime is 233006621. The reversal of 233006540 is 45600332.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6395 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (11332720).

Almost surely, 2^233006540 is an apocalyptic number.

233006540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233006540 is an abundant number, since it is smaller than the sum of its proper divisors (310964020).

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

233006540 is a wasteful number, since it uses less digits than its factorization.

233006540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28962 (or 28960 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 233006540 is about 15264.5517457933. The cubic root of 233006540 is about 615.3507066172.

Adding to 233006540 its reverse (45600332), we get a palindrome (278606872).

The spelling of 233006540 in words is "two hundred thirty-three million, six thousand, five hundred forty".