214567152 has 80 divisors (see below), whose sum is σ = 587760000. Its totient is φ = 67260672.

The previous prime is 214567147. The next prime is 214567153. The reversal of 214567152 is 251765412.

It is a super-2 number, since 2×214567152² = 92078125434782208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214567153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135099 + ... + 136677.

It is an arithmetic number, because the mean of its divisors is an integer number (7347000).

Almost surely, 2^214567152 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 214567152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293880000).

214567152 is an abundant number, since it is smaller than the sum of its proper divisors (373192848).

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

214567152 is a wasteful number, since it uses less digits than its factorization.

214567152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 214567152 is about 14648.1108679584. The cubic root of 214567152 is about 598.6703444257.

The spelling of 214567152 in words is "two hundred fourteen million, five hundred sixty-seven thousand, one hundred fifty-two".