220345440 has 96 divisors (see below), whose sum is σ = 793255680. Its totient is φ = 50363904.

The previous prime is 220345423. The next prime is 220345453. The reversal of 220345440 is 44543022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×220345440² = 97104225857587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220345440.

It is a congruent number.

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, 29430 + ... + 36149.

It is an arithmetic number, because the mean of its divisors is an integer number (8263080).

Almost surely, 2^220345440 is an apocalyptic number.

220345440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220345440 is an abundant number, since it is smaller than the sum of its proper divisors (572910240).

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

220345440 is a wasteful number, since it uses less digits than its factorization.

220345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65604 (or 65596 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 220345440 is about 14844.0371866955. The cubic root of 220345440 is about 603.9968714660.

Adding to 220345440 its reverse (44543022), we get a palindrome (264888462).

The spelling of 220345440 in words is "two hundred twenty million, three hundred forty-five thousand, four hundred forty".