221373300 has 72 divisors (see below), whose sum is σ = 643458816. Its totient is φ = 58760960.

The previous prime is 221373283. The next prime is 221373301. The reversal of 221373300 is 3373122.

221373300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221373300² = 98012275905780000, which contains 22 as substring.

221373300 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221373301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68317 + ... + 71483.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^221373300 is an apocalyptic number.

221373300 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 221373300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

221373300 is an abundant number, since it is smaller than the sum of its proper divisors (422085516).

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

221373300 is a wasteful number, since it uses less digits than its factorization.

221373300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 221373300 is about 14878.6188875178. The cubic root of 221373300 is about 604.9345830050.

The spelling of 221373300 in words is "two hundred twenty-one million, three hundred seventy-three thousand, three hundred".