220188400 has 30 divisors (see below), whose sum is σ = 529003592. Its totient is φ = 88075200.

The previous prime is 220188391. The next prime is 220188421. The reversal of 220188400 is 4881022.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274836 + ... + 275635.

Almost surely, 2^220188400 is an apocalyptic number.

220188400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220188400 is an abundant number, since it is smaller than the sum of its proper divisors (308815192).

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

220188400 is a wasteful number, since it uses less digits than its factorization.

220188400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550489 (or 550478 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 220188400 is about 14838.7465777942. The cubic root of 220188400 is about 603.8533480191.

It can be divided in two parts, 2201 and 88400, that added together give a square (90601 = 301²).

The spelling of 220188400 in words is "two hundred twenty million, one hundred eighty-eight thousand, four hundred".