220506156 has 72 divisors (see below), whose sum is σ = 602163744. Its totient is φ = 67633920.

The previous prime is 220506149. The next prime is 220506157. The reversal of 220506156 is 651605022.

220506156 is a `hidden beast` number, since 2 + 2 + 0 + 506 + 156 = 666.

It is not an unprimeable number, because it can be changed into a prime (220506157) 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 23 ways as a sum of consecutive naturals, for example, 213361 + ... + 214391.

Almost surely, 2^220506156 is an apocalyptic number.

220506156 is a gapful number since it is divisible by the number (26) 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 220506156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301081872).

220506156 is an abundant number, since it is smaller than the sum of its proper divisors (381657588).

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

220506156 is a wasteful number, since it uses less digits than its factorization.

220506156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 220506156 is about 14849.4496867729. The cubic root of 220506156 is about 604.1436839285.

The spelling of 220506156 in words is "two hundred twenty million, five hundred six thousand, one hundred fifty-six".