220375080 has 160 divisors (see below), whose sum is σ = 784472040. Its totient is φ = 55296000.

The previous prime is 220375069. The next prime is 220375117. The reversal of 220375080 is 80573022.

It can be written as a sum of positive squares in 4 ways, for example, as 148498596 + 71876484 = 12186^2 + 8478^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53080 + ... + 57080.

Almost surely, 2^220375080 is an apocalyptic number.

220375080 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 220375080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392236020).

220375080 is an abundant number, since it is smaller than the sum of its proper divisors (564096960).

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

220375080 is a wasteful number, since it uses less digits than its factorization.

220375080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 220375080 is about 14845.0355338073. The cubic root of 220375080 is about 604.0239526779.

The spelling of 220375080 in words is "two hundred twenty million, three hundred seventy-five thousand, eighty".