220142400 has 84 divisors (see below), whose sum is σ = 722266272. Its totient is φ = 58703360.

The previous prime is 220142389. The next prime is 220142431. The reversal of 220142400 is 4241022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220142400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18132 + ... + 27731.

It is an arithmetic number, because the mean of its divisors is an integer number (8598408).

Almost surely, 2^220142400 is an apocalyptic number.

220142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220142400 is an abundant number, since it is smaller than the sum of its proper divisors (502123872).

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

220142400 is a wasteful number, since it uses less digits than its factorization.

220142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45888 (or 45873 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 220142400 is about 14837.1965006870. The cubic root of 220142400 is about 603.8112943527.

Adding to 220142400 its reverse (4241022), we get a palindrome (224383422).

The spelling of 220142400 in words is "two hundred twenty million, one hundred forty-two thousand, four hundred".