221256360 has 384 divisors, whose sum is σ = 858574080. Its totient is φ = 50761728.

The previous prime is 221256319. The next prime is 221256379. The reversal of 221256360 is 63652122.

221256360 is a `hidden beast` number, since 2 + 2 + 1 + 25 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2148069 + ... + 2148171.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 2^221256360 is an apocalyptic number.

221256360 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 221256360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429287040).

221256360 is an abundant number, since it is smaller than the sum of its proper divisors (637317720).

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

221256360 is a wasteful number, since it uses less digits than its factorization.

221256360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 221256360 is about 14874.6885681684. The cubic root of 221256360 is about 604.8280457516.

The spelling of 221256360 in words is "two hundred twenty-one million, two hundred fifty-six thousand, three hundred sixty".