221953056 has 96 divisors (see below), whose sum is σ = 647797248. Its totient is φ = 66078720.

The previous prime is 221953051. The next prime is 221953063. The reversal of 221953056 is 650359122.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (221953051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35820 + ... + 41556.

It is an arithmetic number, because the mean of its divisors is an integer number (6747888).

Almost surely, 2^221953056 is an apocalyptic number.

221953056 is a gapful number since it is divisible by the number (26) 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 221953056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323898624).

221953056 is an abundant number, since it is smaller than the sum of its proper divisors (425844192).

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

221953056 is a wasteful number, since it uses less digits than its factorization.

221953056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 221953056 is about 14898.0890049697. The cubic root of 221953056 is about 605.4622117298.

The spelling of 221953056 in words is "two hundred twenty-one million, nine hundred fifty-three thousand, fifty-six".