220901440 has 112 divisors (see below), whose sum is σ = 547268400. Its totient is φ = 84869120.

The previous prime is 220901437. The next prime is 220901477. The reversal of 220901440 is 44109022.

It can be written as a sum of positive squares in 8 ways, for example, as 134931456 + 85969984 = 11616^2 + 9272^2 .

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, 1482486 + ... + 1482634.

It is an arithmetic number, because the mean of its divisors is an integer number (4886325).

Almost surely, 2^220901440 is an apocalyptic number.

220901440 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 220901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273634200).

220901440 is an abundant number, since it is smaller than the sum of its proper divisors (326366960).

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

220901440 is a wasteful number, since it uses less digits than its factorization.

220901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 220901440 is about 14862.7534461149. The cubic root of 220901440 is about 604.5044686803.

It can be divided in two parts, 22090 and 1440, that multiplied together give a square (31809600 = 5640²).

The spelling of 220901440 in words is "two hundred twenty million, nine hundred one thousand, four hundred forty".