221400000 has 336 divisors, whose sum is σ = 833384160. Its totient is φ = 57600000.

The previous prime is 221399957. The next prime is 221400017. The reversal of 221400000 is 4122.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 5399980 + ... + 5400020.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 2^221400000 is an apocalyptic number.

221400000 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 221400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416692080).

221400000 is an abundant number, since it is smaller than the sum of its proper divisors (611984160).

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

221400000 is an frugal number, since it uses more digits than its factorization.

221400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 221400000 is about 14879.5161211647. The cubic root of 221400000 is about 604.9589025654.

Adding to 221400000 its reverse (4122), we get a palindrome (221404122).

The spelling of 221400000 in words is "two hundred twenty-one million, four hundred thousand".