214314632 has 64 divisors (see below), whose sum is σ = 474768000. Its totient is φ = 90646080.

The previous prime is 214314629. The next prime is 214314637. The reversal of 214314632 is 236413412.

It is a super-2 number, since 2×214314632² = 91861522978590848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214314637) 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, 227282 + ... + 228222.

It is an arithmetic number, because the mean of its divisors is an integer number (7418250).

Almost surely, 2^214314632 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 214314632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237384000).

214314632 is an abundant number, since it is smaller than the sum of its proper divisors (260453368).

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

214314632 is an equidigital number, since it uses as much as digits as its factorization.

214314632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 214314632 is about 14639.4887888888. The cubic root of 214314632 is about 598.4353976530.

The spelling of 214314632 in words is "two hundred fourteen million, three hundred fourteen thousand, six hundred thirty-two".