221962416 has 80 divisors (see below), whose sum is σ = 620626944. Its totient is φ = 67951872.

The previous prime is 221962409. The next prime is 221962423. The reversal of 221962416 is 614269122.

It is an interprime number because it is at equal distance from previous prime (221962409) and next prime (221962423).

It is an unprimeable number.

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, 140865 + ... + 142431.

Almost surely, 2^221962416 is an apocalyptic number.

221962416 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 221962416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310313472).

221962416 is an abundant number, since it is smaller than the sum of its proper divisors (398664528).

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

221962416 is a wasteful number, since it uses less digits than its factorization.

221962416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1812 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 221962416 is about 14898.4031359069. The cubic root of 221962416 is about 605.4707226086.

The spelling of 221962416 in words is "two hundred twenty-one million, nine hundred sixty-two thousand, four hundred sixteen".