220151304 has 64 divisors (see below), whose sum is σ = 626472000. Its totient is φ = 71591040.

The previous prime is 220151293. The next prime is 220151311. The reversal of 220151304 is 403151022.

220151304 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3574 + ... + 21285.

It is an arithmetic number, because the mean of its divisors is an integer number (9788625).

Almost surely, 2^220151304 is an apocalyptic number.

220151304 is a gapful number since it is divisible by the number (24) 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 220151304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313236000).

220151304 is an abundant number, since it is smaller than the sum of its proper divisors (406320696).

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

220151304 is a wasteful number, since it uses less digits than its factorization.

220151304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24915 (or 24905 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 220151304 is about 14837.4965543383. The cubic root of 220151304 is about 603.8194349370.

The spelling of 220151304 in words is "two hundred twenty million, one hundred fifty-one thousand, three hundred four".