221454200 has 72 divisors (see below), whose sum is σ = 566005440. Its totient is φ = 80520000.

The previous prime is 221454137. The next prime is 221454227. The reversal of 221454200 is 2454122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19625 + ... + 28775.

Almost surely, 2^221454200 is an apocalyptic number.

221454200 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 221454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283002720).

221454200 is an abundant number, since it is smaller than the sum of its proper divisors (344551240).

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

221454200 is a wasteful number, since it uses less digits than its factorization.

221454200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 221454200 is about 14881.3373054978. The cubic root of 221454200 is about 605.0082643499.

The spelling of 221454200 in words is "two hundred twenty-one million, four hundred fifty-four thousand, two hundred".