220153320 has 96 divisors (see below), whose sum is σ = 738616320. Its totient is φ = 56810880.

The previous prime is 220153253. The next prime is 220153387. The reversal of 220153320 is 23351022.

It is an interprime number because it is at equal distance from previous prime (220153253) and next prime (220153387).

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

It is a junction number, because it is equal to n+sod(n) for n = 220153293 and 220153302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297 + ... + 21023.

It is an arithmetic number, because the mean of its divisors is an integer number (7693920).

Almost surely, 2^220153320 is an apocalyptic number.

220153320 is a gapful number since it is divisible by the number (20) 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 220153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369308160).

220153320 is an abundant number, since it is smaller than the sum of its proper divisors (518463000).

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

220153320 is a wasteful number, since it uses less digits than its factorization.

220153320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19775 (or 19768 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 220153320 is about 14837.5644901716. The cubic root of 220153320 is about 603.8212780577.

The spelling of 220153320 in words is "two hundred twenty million, one hundred fifty-three thousand, three hundred twenty".