213240944 has 120 divisors (see below), whose sum is σ = 507623760. Its totient is φ = 86403072.

The previous prime is 213240943. The next prime is 213240949. The reversal of 213240944 is 449042312.

213240944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213240944² = 90943400396022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213240941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887032 + ... + 1887144.

It is an arithmetic number, because the mean of its divisors is an integer number (4230198).

Almost surely, 2^213240944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213240944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253811880).

213240944 is an abundant number, since it is smaller than the sum of its proper divisors (294382816).

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

213240944 is a wasteful number, since it uses less digits than its factorization.

213240944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 213240944 is about 14602.7717916839. The cubic root of 213240944 is about 597.4343633367.

The spelling of 213240944 in words is "two hundred thirteen million, two hundred forty thousand, nine hundred forty-four".