233540820 has 60 divisors (see below), whose sum is σ = 732631284. Its totient is φ = 62277120.

The previous prime is 233540819. The next prime is 233540851. The reversal of 233540820 is 28045332.

233540820 is a `hidden beast` number, since 233 + 5 + 408 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84603204 + 148937616 = 9198^2 + 12204^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70461 + ... + 73700.

Almost surely, 2^233540820 is an apocalyptic number.

233540820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233540820 is an abundant number, since it is smaller than the sum of its proper divisors (499090464).

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

233540820 is a wasteful number, since it uses less digits than its factorization.

233540820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144182 (or 144171 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 233540820 is about 15282.0424027680. The cubic root of 233540820 is about 615.8206771274.

The spelling of 233540820 in words is "two hundred thirty-three million, five hundred forty thousand, eight hundred twenty".