221296960 has 28 divisors (see below), whose sum is σ = 526964148. Its totient is φ = 88518656.

The previous prime is 221296937. The next prime is 221296979. The reversal of 221296960 is 69692122.

It can be written as a sum of positive squares in 2 ways, for example, as 63744256 + 157552704 = 7984^2 + 12552^2 .

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 345457 + ... + 346096.

Almost surely, 2^221296960 is an apocalyptic number.

221296960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221296960 is an abundant number, since it is smaller than the sum of its proper divisors (305667188).

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

221296960 is an equidigital number, since it uses as much as digits as its factorization.

221296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691570 (or 691560 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 221296960 is about 14876.0532400230. The cubic root of 221296960 is about 604.8650383105.

The spelling of 221296960 in words is "two hundred twenty-one million, two hundred ninety-six thousand, nine hundred sixty".