221924916 has 36 divisors (see below), whose sum is σ = 564127200. Its totient is φ = 73559568.

The previous prime is 221924887. The next prime is 221924951. The reversal of 221924916 is 619429122.

221924916 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10776 + ... + 23663.

It is an arithmetic number, because the mean of its divisors is an integer number (15670200).

Almost surely, 2^221924916 is an apocalyptic number.

It is an amenable number.

221924916 is an abundant number, since it is smaller than the sum of its proper divisors (342202284).

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

221924916 is a wasteful number, since it uses less digits than its factorization.

221924916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34628 (or 34623 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 221924916 is about 14897.1445586059. The cubic root of 221924916 is about 605.4366230956.

The spelling of 221924916 in words is "two hundred twenty-one million, nine hundred twenty-four thousand, nine hundred sixteen".