220251344 has 60 divisors (see below), whose sum is σ = 461488320. Its totient is φ = 101548800.

The previous prime is 220251341. The next prime is 220251347. The reversal of 220251344 is 443152022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220251341) and next prime (220251347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220251341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510809 + ... + 511239.

It is an arithmetic number, because the mean of its divisors is an integer number (7691472).

Almost surely, 2^220251344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220251344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230744160).

220251344 is an abundant number, since it is smaller than the sum of its proper divisors (241236976).

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

220251344 is a wasteful number, since it uses less digits than its factorization.

220251344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 220251344 is about 14840.8673600973. The cubic root of 220251344 is about 603.9108825727.

The spelling of 220251344 in words is "two hundred twenty million, two hundred fifty-one thousand, three hundred forty-four".