221338000 has 80 divisors (see below), whose sum is σ = 576431856. Its totient is φ = 81715200.

The previous prime is 221337989. The next prime is 221338001. The reversal of 221338000 is 833122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 47941776 + 173396224 = 6924^2 + 13168^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (221338001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21744 + ... + 30256.

Almost surely, 2^221338000 is an apocalyptic number.

221338000 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 221338000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288215928).

221338000 is an abundant number, since it is smaller than the sum of its proper divisors (355093856).

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

221338000 is a wasteful number, since it uses less digits than its factorization.

221338000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8549 (or 8533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 221338000 is about 14877.4325742045. The cubic root of 221338000 is about 604.9024271760.

The spelling of 221338000 in words is "two hundred twenty-one million, three hundred thirty-eight thousand".