221986800 has 360 divisors, whose sum is σ = 921083904. Its totient is φ = 48407040.

The previous prime is 221986763. The next prime is 221986813. The reversal of 221986800 is 8689122.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579409 + ... + 579791.

Almost surely, 2^221986800 is an apocalyptic number.

221986800 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 221986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460541952).

221986800 is an abundant number, since it is smaller than the sum of its proper divisors (699097104).

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

221986800 is a wasteful number, since it uses less digits than its factorization.

221986800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 221986800 is about 14899.2214561701. The cubic root of 221986800 is about 605.4928934153.

The spelling of 221986800 in words is "two hundred twenty-one million, nine hundred eighty-six thousand, eight hundred".