221140400 has 180 divisors, whose sum is σ = 611242128. Its totient is φ = 76285440.

The previous prime is 221140393. The next prime is 221140417. The reversal of 221140400 is 4041122.

221140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×221140400³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5142779 + ... + 5142821.

Almost surely, 2^221140400 is an apocalyptic number.

221140400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305621064).

221140400 is an abundant number, since it is smaller than the sum of its proper divisors (390101728).

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

221140400 is a wasteful number, since it uses less digits than its factorization.

221140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221140400 is about 14870.7901605799. The cubic root of 221140400 is about 604.7223642450.

Adding to 221140400 its reverse (4041122), we get a palindrome (225181522).

The spelling of 221140400 in words is "two hundred twenty-one million, one hundred forty thousand, four hundred".