221357400 has 144 divisors (see below), whose sum is σ = 754509000. Its totient is φ = 53644800.

The previous prime is 221357399. The next prime is 221357413. The reversal of 221357400 is 4753122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71076 + ... + 74124.

Almost surely, 2^221357400 is an apocalyptic number.

221357400 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 221357400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377254500).

221357400 is an abundant number, since it is smaller than the sum of its proper divisors (533151600).

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

221357400 is a wasteful number, since it uses less digits than its factorization.

221357400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 221357400 is about 14878.0845541353. The cubic root of 221357400 is about 604.9200996411.

The spelling of 221357400 in words is "two hundred twenty-one million, three hundred fifty-seven thousand, four hundred".