220129344 has 84 divisors (see below), whose sum is σ = 633092460. Its totient is φ = 73128960.

The previous prime is 220129333. The next prime is 220129361. The reversal of 220129344 is 443921022.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 121881600 = 9912^2 + 11040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265122 + ... + 265950.

It is an arithmetic number, because the mean of its divisors is an integer number (7536815).

Almost surely, 2^220129344 is an apocalyptic number.

220129344 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 220129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316546230).

220129344 is an abundant number, since it is smaller than the sum of its proper divisors (412963116).

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

220129344 is a wasteful number, since it uses less digits than its factorization.

220129344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 220129344 is about 14836.7565188622. The cubic root of 220129344 is about 603.7993573578.

The spelling of 220129344 in words is "two hundred twenty million, one hundred twenty-nine thousand, three hundred forty-four".