221315400 has 72 divisors (see below), whose sum is σ = 743256930. Its totient is φ = 59016960.

The previous prime is 221315387. The next prime is 221315429. The reversal of 221315400 is 4513122.

It can be written as a sum of positive squares in 3 ways, for example, as 206152164 + 15163236 = 14358^2 + 3894^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 59677 + ... + 63276.

Almost surely, 2^221315400 is an apocalyptic number.

221315400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221315400 is an abundant number, since it is smaller than the sum of its proper divisors (521941530).

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

221315400 is a wasteful number, since it uses less digits than its factorization.

221315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122975 (or 122963 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 221315400 is about 14876.6730151603. The cubic root of 221315400 is about 604.8818383629.

Adding to 221315400 its reverse (4513122), we get a palindrome (225828522).

The spelling of 221315400 in words is "two hundred twenty-one million, three hundred fifteen thousand, four hundred".