221022400 has 42 divisors (see below), whose sum is σ = 543857180. Its totient is φ = 88408320.

The previous prime is 221022397. The next prime is 221022401. The reversal of 221022400 is 4220122.

221022400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221022401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67470 + ... + 70669.

Almost surely, 2^221022400 is an apocalyptic number.

221022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022400 is an abundant number, since it is smaller than the sum of its proper divisors (322834780).

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

221022400 is a wasteful number, since it uses less digits than its factorization.

221022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138161 (or 138146 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 221022400 is about 14866.8221217582. The cubic root of 221022400 is about 604.6147856286.

Adding to 221022400 its reverse (4220122), we get a palindrome (225242522).

The spelling of 221022400 in words is "two hundred twenty-one million, twenty-two thousand, four hundred".