221838336 has 66 divisors (see below), whose sum is σ = 640579992. Its totient is φ = 73943040.

The previous prime is 221838307. The next prime is 221838341. The reversal of 221838336 is 633838122.

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 221838336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2820 + ... + 21251.

Almost surely, 2^221838336 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 221838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320289996).

221838336 is an abundant number, since it is smaller than the sum of its proper divisors (418741656).

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

221838336 is a wasteful number, since it uses less digits than its factorization.

221838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24097 (or 24076 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 221838336 is about 14894.2383491067. The cubic root of 221838336 is about 605.3578794646.

The spelling of 221838336 in words is "two hundred twenty-one million, eight hundred thirty-eight thousand, three hundred thirty-six".