220254132 has 96 divisors (see below), whose sum is σ = 621379584. Its totient is φ = 59385600.

The previous prime is 220254121. The next prime is 220254157. The reversal of 220254132 is 231452022.

220254132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 220254099 and 220254108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105733 + ... + 107795.

It is an arithmetic number, because the mean of its divisors is an integer number (6472704).

Almost surely, 2^220254132 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 220254132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310689792).

220254132 is an abundant number, since it is smaller than the sum of its proper divisors (401125452).

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

220254132 is a wasteful number, since it uses less digits than its factorization.

220254132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2149 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 220254132 is about 14840.9612896200. The cubic root of 220254132 is about 603.9134307167.

The spelling of 220254132 in words is "two hundred twenty million, two hundred fifty-four thousand, one hundred thirty-two".