221996880 has 240 divisors, whose sum is σ = 902513664. Its totient is φ = 47738880.

The previous prime is 221996867. The next prime is 221996891. The reversal of 221996880 is 88699122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×221996880² = 98565229459468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 84385 + ... + 86975.

Almost surely, 2^221996880 is an apocalyptic number.

221996880 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 221996880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451256832).

221996880 is an abundant number, since it is smaller than the sum of its proper divisors (680516784).

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

221996880 is a wasteful number, since it uses less digits than its factorization.

221996880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 221996880 is about 14899.5597250389. The cubic root of 221996880 is about 605.5020580383.

It can be divided in two parts, 2219 and 96880, that added together give a palindrome (99099).

The spelling of 221996880 in words is "two hundred twenty-one million, nine hundred ninety-six thousand, eight hundred eighty".