221283360 has 192 divisors, whose sum is σ = 781522560. Its totient is φ = 58475520.

The previous prime is 221283341. The next prime is 221283371. The reversal of 221283360 is 63382122.

221283360 is a `hidden beast` number, since 2 + 21 + 283 + 360 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781779 + ... + 782061.

It is an arithmetic number, because the mean of its divisors is an integer number (4070430).

Almost surely, 2^221283360 is an apocalyptic number.

221283360 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 221283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390761280).

221283360 is an abundant number, since it is smaller than the sum of its proper divisors (560239200).

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

221283360 is a wasteful number, since it uses less digits than its factorization.

221283360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 221283360 is about 14875.5961225088. The cubic root of 221283360 is about 604.8526472184.

The spelling of 221283360 in words is "two hundred twenty-one million, two hundred eighty-three thousand, three hundred sixty".