221464672 has 48 divisors (see below), whose sum is σ = 512244432. Its totient is φ = 92920320.

The previous prime is 221464613. The next prime is 221464693. The reversal of 221464672 is 276464122.

221464672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19623 + ... + 28774.

It is an arithmetic number, because the mean of its divisors is an integer number (10671759).

Almost surely, 2^221464672 is an apocalyptic number.

221464672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221464672 is an abundant number, since it is smaller than the sum of its proper divisors (290779760).

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

221464672 is a wasteful number, since it uses less digits than its factorization.

221464672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48431 (or 48423 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 221464672 is about 14881.6891514371. The cubic root of 221464672 is about 605.0178006283.

The spelling of 221464672 in words is "two hundred twenty-one million, four hundred sixty-four thousand, six hundred seventy-two".