220232400 has 60 divisors (see below), whose sum is σ = 705481632. Its totient is φ = 58728320.

The previous prime is 220232381. The next prime is 220232461. The reversal of 220232400 is 4232022.

It is a tau number, because it is divible by the number of its divisors (60).

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 220232400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90564 + ... + 92963.

Almost surely, 2^220232400 is an apocalyptic number.

220232400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220232400 is an abundant number, since it is smaller than the sum of its proper divisors (485249232).

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

220232400 is a wasteful number, since it uses less digits than its factorization.

220232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183548 (or 183537 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 220232400 is about 14840.2291087436. The cubic root of 220232400 is about 603.8935677850.

Adding to 220232400 its reverse (4232022), we get a palindrome (224464422).

The spelling of 220232400 in words is "two hundred twenty million, two hundred thirty-two thousand, four hundred".