221613792 has 96 divisors (see below), whose sum is σ = 606735360. Its totient is φ = 70748160.

The previous prime is 221613731. The next prime is 221613811. The reversal of 221613792 is 297316122.

221613792 is digitally balanced in base 2, because in such base 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 (96).

It is a super-2 number, since 2×221613792² = 98225345609238528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335959 + ... + 336617.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2^221613792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221613792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303367680).

221613792 is an abundant number, since it is smaller than the sum of its proper divisors (385121568).

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

221613792 is a wasteful number, since it uses less digits than its factorization.

221613792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 221613792 is about 14886.6984922783. The cubic root of 221613792 is about 605.1535634593.

The spelling of 221613792 in words is "two hundred twenty-one million, six hundred thirteen thousand, seven hundred ninety-two".