214261152 has 48 divisors (see below), whose sum is σ = 642785472. Its totient is φ = 61217280.

The previous prime is 214261147. The next prime is 214261153. The reversal of 214261152 is 251162412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (214261153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158749 + ... + 160092.

It is an arithmetic number, because the mean of its divisors is an integer number (13391364).

Almost surely, 2^214261152 is an apocalyptic number.

It is an amenable number.

214261152 is an abundant number, since it is smaller than the sum of its proper divisors (428524320).

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

214261152 is a wasteful number, since it uses less digits than its factorization.

214261152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318861 (or 318853 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 214261152 is about 14637.6621084106. The cubic root of 214261152 is about 598.3856157237.

It can be divided in two parts, 21426 and 1152, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 214261152 in words is "two hundred fourteen million, two hundred sixty-one thousand, one hundred fifty-two".