214755264 has 42 divisors (see below), whose sum is σ = 615558840. Its totient is φ = 71584896.

The previous prime is 214755227. The next prime is 214755283. The reversal of 214755264 is 462557412.

It is a happy number.

214755264 is a `hidden beast` number, since 2 + 1 + 47 + 552 + 64 = 666.

214755264 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 2×214755264² = 92239646831419392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185844 + ... + 186995.

Almost surely, 2^214755264 is an apocalyptic number.

214755264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214755264 is an abundant number, since it is smaller than the sum of its proper divisors (400803576).

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

214755264 is a wasteful number, since it uses less digits than its factorization.

214755264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372857 (or 372844 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 214755264 is about 14654.5304940145. The cubic root of 214755264 is about 598.8452456631.

The spelling of 214755264 in words is "two hundred fourteen million, seven hundred fifty-five thousand, two hundred sixty-four".