221478300 has 180 divisors, whose sum is σ = 738346840. Its totient is φ = 57386880.

The previous prime is 221478287. The next prime is 221478319. The reversal of 221478300 is 3874122.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 299331 + ... + 300069.

Almost surely, 2^221478300 is an apocalyptic number.

221478300 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 221478300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369173420).

221478300 is an abundant number, since it is smaller than the sum of its proper divisors (516868540).

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

221478300 is a wasteful number, since it uses less digits than its factorization.

221478300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 221478300 is about 14882.1470225233. The cubic root of 221478300 is about 605.0302104533.

The spelling of 221478300 in words is "two hundred twenty-one million, four hundred seventy-eight thousand, three hundred".