213736224 has 48 divisors (see below), whose sum is σ = 604219392. Its totient is φ = 65764608.

The previous prime is 213736219. The next prime is 213736241. The reversal of 213736224 is 422637312.

213736224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 213736191 and 213736200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84384 + ... + 86879.

It is an arithmetic number, because the mean of its divisors is an integer number (12587904).

Almost surely, 2^213736224 is an apocalyptic number.

213736224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213736224 is an abundant number, since it is smaller than the sum of its proper divisors (390483168).

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

213736224 is a wasteful number, since it uses less digits than its factorization.

213736224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171289 (or 171281 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 213736224 is about 14619.7203803630. The cubic root of 213736224 is about 597.8965455273.

The spelling of 213736224 in words is "two hundred thirteen million, seven hundred thirty-six thousand, two hundred twenty-four".