221824980 has 144 divisors (see below), whose sum is σ = 751680384. Its totient is φ = 54587520.

The previous prime is 221824979. The next prime is 221824991. The reversal of 221824980 is 89428122.

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 47 ways as a sum of consecutive naturals, for example, 61425 + ... + 64935.

Almost surely, 2^221824980 is an apocalyptic number.

221824980 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 221824980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375840192).

221824980 is an abundant number, since it is smaller than the sum of its proper divisors (529855404).

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

221824980 is a wasteful number, since it uses less digits than its factorization.

221824980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 221824980 is about 14893.7899810626. The cubic root of 221824980 is about 605.3457304943.

221824980 divided by its sum of digits (36) gives a triangular number (6161805 = T₃₅₁₀).

The spelling of 221824980 in words is "two hundred twenty-one million, eight hundred twenty-four thousand, nine hundred eighty".