221411400 has 288 divisors, whose sum is σ = 847311840. Its totient is φ = 47523840.

The previous prime is 221411387. The next prime is 221411401. The reversal of 221411400 is 4114122.

221411400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 221411400.

It is not an unprimeable number, because it can be changed into a prime (221411401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499579 + ... + 500021.

It is an arithmetic number, because the mean of its divisors is an integer number (2942055).

Almost surely, 2^221411400 is an apocalyptic number.

221411400 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 221411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423655920).

221411400 is an abundant number, since it is smaller than the sum of its proper divisors (625900440).

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

221411400 is a wasteful number, since it uses less digits than its factorization.

221411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 221411400 is about 14879.8991932069. The cubic root of 221411400 is about 604.9692856024.

Adding to 221411400 its reverse (4114122), we get a palindrome (225525522).

The spelling of 221411400 in words is "two hundred twenty-one million, four hundred eleven thousand, four hundred".