214795152 has 400 divisors, whose sum is σ = 781408320. Its totient is φ = 55987200.

The previous prime is 214795129. The next prime is 214795157. The reversal of 214795152 is 251597412.

214795152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214795152² = 92273914645406208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214795157) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3521202 + ... + 3521262.

Almost surely, 2^214795152 is an apocalyptic number.

214795152 is a gapful number since it is divisible by the number (22) 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 214795152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390704160).

214795152 is an abundant number, since it is smaller than the sum of its proper divisors (566613168).

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

214795152 is a wasteful number, since it uses less digits than its factorization.

214795152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 214795152 is about 14655.8913751433. The cubic root of 214795152 is about 598.8823192758.

The spelling of 214795152 in words is "two hundred fourteen million, seven hundred ninety-five thousand, one hundred fifty-two".