221838680 has 256 divisors, whose sum is σ = 656640000. Its totient is φ = 67060224.

The previous prime is 221838679. The next prime is 221838689. The reversal of 221838680 is 86838122.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221838689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5995622 + ... + 5995658.

It is an arithmetic number, because the mean of its divisors is an integer number (2565000).

Almost surely, 2^221838680 is an apocalyptic number.

221838680 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 221838680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320000).

221838680 is an abundant number, since it is smaller than the sum of its proper divisors (434801320).

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

221838680 is a wasteful number, since it uses less digits than its factorization.

221838680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 221838680 is about 14894.2498971919. The cubic root of 221838680 is about 605.3581923697.

The spelling of 221838680 in words is "two hundred twenty-one million, eight hundred thirty-eight thousand, six hundred eighty".