221650560 has 256 divisors, whose sum is σ = 799027200. Its totient is φ = 58060800.

The previous prime is 221650501. The next prime is 221650571. The reversal of 221650560 is 65056122.

221650560 is a `hidden beast` number, since 2 + 2 + 1 + 650 + 5 + 6 + 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745217 + ... + 1745343.

It is an arithmetic number, because the mean of its divisors is an integer number (3121200).

Almost surely, 2^221650560 is an apocalyptic number.

221650560 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 221650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399513600).

221650560 is an abundant number, since it is smaller than the sum of its proper divisors (577376640).

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

221650560 is a wasteful number, since it uses less digits than its factorization.

221650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 221650560 is about 14887.9333690073. The cubic root of 221650560 is about 605.1870286686.

It can be divided in two parts, 2216505 and 60, that added together give a triangular number (2216565 = T₂₁₀₅).

The spelling of 221650560 in words is "two hundred twenty-one million, six hundred fifty thousand, five hundred sixty".