221976468 has 216 divisors, whose sum is σ = 709581600. Its totient is φ = 58133376.

The previous prime is 221976457. The next prime is 221976479. The reversal of 221976468 is 864679122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221976457) and next prime (221976479).

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, 1240003 + ... + 1240181.

It is an arithmetic number, because the mean of its divisors is an integer number (3285100).

Almost surely, 2^221976468 is an apocalyptic number.

221976468 is a gapful number since it is divisible by the number (28) 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 221976468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354790800).

221976468 is an abundant number, since it is smaller than the sum of its proper divisors (487605132).

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

221976468 is a wasteful number, since it uses less digits than its factorization.

221976468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 221976468 is about 14898.8747226091. The cubic root of 221976468 is about 605.4834993888.

It can be divided in two parts, 2219 and 76468, that added together give a palindrome (78687).

The spelling of 221976468 in words is "two hundred twenty-one million, nine hundred seventy-six thousand, four hundred sixty-eight".