220669152 has 120 divisors (see below), whose sum is σ = 641236680. Its totient is φ = 66443520.

The previous prime is 220669139. The next prime is 220669177. The reversal of 220669152 is 251966022.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1405458 + ... + 1405614.

It is an arithmetic number, because the mean of its divisors is an integer number (5343639).

Almost surely, 2^220669152 is an apocalyptic number.

220669152 is a gapful number since it is divisible by the number (22) 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 220669152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320618340).

220669152 is an abundant number, since it is smaller than the sum of its proper divisors (420567528).

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

220669152 is an equidigital number, since it uses as much as digits as its factorization.

220669152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 220669152 is about 14854.9369571197. The cubic root of 220669152 is about 604.2925063049.

The spelling of 220669152 in words is "two hundred twenty million, six hundred sixty-nine thousand, one hundred fifty-two".