220153856 has 48 divisors (see below), whose sum is σ = 474119100. Its totient is φ = 101597184.

The previous prime is 220153853. The next prime is 220153867. The reversal of 220153856 is 658351022.

It can be written as a sum of positive squares in 2 ways, for example, as 219513856 + 640000 = 14816^2 + 800^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (220153853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22490 + ... + 30758.

Almost surely, 2^220153856 is an apocalyptic number.

220153856 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 220153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237059550).

220153856 is an abundant number, since it is smaller than the sum of its proper divisors (253965244).

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

220153856 is an equidigital number, since it uses as much as digits as its factorization.

220153856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 220153856 is about 14837.5825524241. The cubic root of 220153856 is about 603.8217680918.

The spelling of 220153856 in words is "two hundred twenty million, one hundred fifty-three thousand, eight hundred fifty-six".