220151412 has 96 divisors (see below), whose sum is σ = 635980800. Its totient is φ = 65390976.

The previous prime is 220151401. The next prime is 220151413. The reversal of 220151412 is 214151022.

220151412 is a `hidden beast` number, since 2 + 201 + 51 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220151413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38013 + ... + 43419.

It is an arithmetic number, because the mean of its divisors is an integer number (6624800).

Almost surely, 2^220151412 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 220151412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317990400).

220151412 is an abundant number, since it is smaller than the sum of its proper divisors (415829388).

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

220151412 is a wasteful number, since it uses less digits than its factorization.

220151412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 220151412 is about 14837.5001937658. The cubic root of 220151412 is about 603.8195336759.

The spelling of 220151412 in words is "two hundred twenty million, one hundred fifty-one thousand, four hundred twelve".