213252240 has 80 divisors (see below), whose sum is σ = 663403968. Its totient is φ = 56667648.

The previous prime is 213252211. The next prime is 213252241. The reversal of 213252240 is 42252312.

213252240 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 (80).

It is not an unprimeable number, because it can be changed into a prime (213252241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74679 + ... + 77481.

Almost surely, 2^213252240 is an apocalyptic number.

213252240 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 213252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331701984).

213252240 is an abundant number, since it is smaller than the sum of its proper divisors (450151728).

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

213252240 is a wasteful number, since it uses less digits than its factorization.

213252240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 213252240 is about 14603.1585624481. The cubic root of 213252240 is about 597.4449124355. Note that the first 3 decimals are identical.

The spelling of 213252240 in words is "two hundred thirteen million, two hundred fifty-two thousand, two hundred forty".