221972480 has 96 divisors (see below), whose sum is σ = 543979800. Its totient is φ = 86900736.

The previous prime is 221972479. The next prime is 221972501. The reversal of 221972480 is 84279122.

It can be written as a sum of positive squares in 4 ways, for example, as 219513856 + 2458624 = 14816^2 + 1568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221972480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542516 + ... + 542924.

Almost surely, 2^221972480 is an apocalyptic number.

221972480 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 221972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271989900).

221972480 is an abundant number, since it is smaller than the sum of its proper divisors (322007320).

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

221972480 is an equidigital number, since it uses as much as digits as its factorization.

221972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 221972480 is about 14898.7408863971. The cubic root of 221972480 is about 605.4798733549.

The spelling of 221972480 in words is "two hundred twenty-one million, nine hundred seventy-two thousand, four hundred eighty".