221361192 has 96 divisors (see below), whose sum is σ = 656390280. Its totient is φ = 66977280.

The previous prime is 221361187. The next prime is 221361193. The reversal of 221361192 is 291163122.

221361192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60933636 + 160427556 = 7806^2 + 12666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221361193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55158 + ... + 59034.

Almost surely, 2^221361192 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 221361192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328195140).

221361192 is an abundant number, since it is smaller than the sum of its proper divisors (435029088).

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

221361192 is a wasteful number, since it uses less digits than its factorization.

221361192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3956 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 221361192 is about 14878.2119893487. The cubic root of 221361192 is about 604.9235538497.

The spelling of 221361192 in words is "two hundred twenty-one million, three hundred sixty-one thousand, one hundred ninety-two".