221282496 has 112 divisors (see below), whose sum is σ = 668304480. Its totient is φ = 71746560.

The previous prime is 221282447. The next prime is 221282513. The reversal of 221282496 is 694282122.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 221282496.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62206 + ... + 65666.

Almost surely, 2^221282496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334152240).

221282496 is an abundant number, since it is smaller than the sum of its proper divisors (447021984).

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

221282496 is a wasteful number, since it uses less digits than its factorization.

221282496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3503 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 221282496 is about 14875.5670816275. The cubic root of 221282496 is about 604.8518600025.

The spelling of 221282496 in words is "two hundred twenty-one million, two hundred eighty-two thousand, four hundred ninety-six".