213933120 has 112 divisors (see below), whose sum is σ = 708842880. Its totient is φ = 54562816.

The previous prime is 213933113. The next prime is 213933133. The reversal of 213933120 is 21339312.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17236 + ... + 26924.

Almost surely, 2^213933120 is an apocalyptic number.

213933120 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 213933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354421440).

213933120 is an abundant number, since it is smaller than the sum of its proper divisors (494909760).

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

213933120 is a wasteful number, since it uses less digits than its factorization.

213933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 213933120 is about 14626.4527483597. The cubic root of 213933120 is about 598.0800853210.

The spelling of 213933120 in words is "two hundred thirteen million, nine hundred thirty-three thousand, one hundred twenty".