221352500 has 60 divisors (see below), whose sum is σ = 497343924. Its totient is φ = 86112000.

The previous prime is 221352499. The next prime is 221352503. The reversal of 221352500 is 5253122.

It can be written as a sum of positive squares in 10 ways, for example, as 186377104 + 34975396 = 13652^2 + 5914^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221352503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91304 + ... + 93696.

Almost surely, 2^221352500 is an apocalyptic number.

221352500 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 221352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248671962).

221352500 is an abundant number, since it is smaller than the sum of its proper divisors (275991424).

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

221352500 is a wasteful number, since it uses less digits than its factorization.

221352500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 221352500 is about 14877.9198814888. The cubic root of 221352500 is about 604.9156360747.

The spelling of 221352500 in words is "two hundred twenty-one million, three hundred fifty-two thousand, five hundred".