221114400 has 288 divisors, whose sum is σ = 818072640. Its totient is φ = 51425280.

The previous prime is 221114371. The next prime is 221114417. The reversal of 221114400 is 4411122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 221114400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592614 + ... + 592986.

It is an arithmetic number, because the mean of its divisors is an integer number (2840530).

Almost surely, 2^221114400 is an apocalyptic number.

221114400 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 221114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409036320).

221114400 is an abundant number, since it is smaller than the sum of its proper divisors (596958240).

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

221114400 is a wasteful number, since it uses less digits than its factorization.

221114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

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

The square root of 221114400 is about 14869.9159378929. The cubic root of 221114400 is about 604.6986637697.

Adding to 221114400 its reverse (4411122), we get a palindrome (225525522).

The spelling of 221114400 in words is "two hundred twenty-one million, one hundred fourteen thousand, four hundred".