221961096 has 48 divisors (see below), whose sum is σ = 687024000. Its totient is φ = 63417312.

The previous prime is 221961079. The next prime is 221961101. The reversal of 221961096 is 690169122.

221961096 is a `hidden beast` number, since 22 + 19 + 610 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221961096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219696 + ... + 220703.

It is an arithmetic number, because the mean of its divisors is an integer number (14313000).

Almost surely, 2^221961096 is an apocalyptic number.

It is an amenable number.

221961096 is an abundant number, since it is smaller than the sum of its proper divisors (465062904).

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

221961096 is a wasteful number, since it uses less digits than its factorization.

221961096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440418 (or 440411 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 221961096 is about 14898.3588357913. The cubic root of 221961096 is about 605.4695223709.

The spelling of 221961096 in words is "two hundred twenty-one million, nine hundred sixty-one thousand, ninety-six".