221258160 has 240 divisors, whose sum is σ = 802234368. Its totient is φ = 54489600.

The previous prime is 221258123. The next prime is 221258161. The reversal of 221258160 is 61852122.

It is a happy number.

221258160 is a `hidden beast` number, since 2 + 21 + 2 + 581 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (221258161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513145 + ... + 513575.

Almost surely, 2^221258160 is an apocalyptic number.

221258160 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 221258160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401117184).

221258160 is an abundant number, since it is smaller than the sum of its proper divisors (580976208).

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

221258160 is a wasteful number, since it uses less digits than its factorization.

221258160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 221258160 is about 14874.7490735138. The cubic root of 221258160 is about 604.8296859117.

The spelling of 221258160 in words is "two hundred twenty-one million, two hundred fifty-eight thousand, one hundred sixty".