220138344 has 64 divisors (see below), whose sum is σ = 613382400. Its totient is φ = 73153152.

The previous prime is 220138339. The next prime is 220138357. The reversal of 220138344 is 443831022.

220138344 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 (27).

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, 77884 + ... + 80660.

It is an arithmetic number, because the mean of its divisors is an integer number (9584100).

Almost surely, 2^220138344 is an apocalyptic number.

220138344 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 220138344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306691200).

220138344 is an abundant number, since it is smaller than the sum of its proper divisors (393244056).

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

220138344 is a wasteful number, since it uses less digits than its factorization.

220138344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 220138344 is about 14837.0598165540. The cubic root of 220138344 is about 603.8075860353.

Adding to 220138344 its reverse (443831022), we get a palindrome (663969366).

The spelling of 220138344 in words is "two hundred twenty million, one hundred thirty-eight thousand, three hundred forty-four".