220002400 has 36 divisors (see below), whose sum is σ = 537082812. Its totient is φ = 88000640.

The previous prime is 220002397. The next prime is 220002401. The reversal of 220002400 is 4200022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136702 + ... + 138301.

It is an arithmetic number, because the mean of its divisors is an integer number (14918967).

Almost surely, 2^220002400 is an apocalyptic number.

220002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002400 is an abundant number, since it is smaller than the sum of its proper divisors (317080412).

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

220002400 is a wasteful number, since it uses less digits than its factorization.

220002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275023 (or 275010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 220002400 is about 14832.4778779542. The cubic root of 220002400 is about 603.6832688757.

Adding to 220002400 its reverse (4200022), we get a palindrome (224202422).

The spelling of 220002400 in words is "two hundred twenty million, two thousand, four hundred".