221612832 has 144 divisors (see below), whose sum is σ = 739956672. Its totient is φ = 61585920.

The previous prime is 221612819. The next prime is 221612837. The reversal of 221612832 is 238216122.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×221612832² = 98224494614120448, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221612796 and 221612805.

It is not an unprimeable number, because it can be changed into a prime (221612837) 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, 73107 + ... + 76077.

It is an arithmetic number, because the mean of its divisors is an integer number (5138588).

Almost surely, 2^221612832 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 221612832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369978336).

221612832 is an abundant number, since it is smaller than the sum of its proper divisors (518343840).

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

221612832 is a wasteful number, since it uses less digits than its factorization.

221612832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3020 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 221612832 is about 14886.6662486938. Note that the first 3 decimals coincide. The cubic root of 221612832 is about 605.1526896444.

Adding to 221612832 its reverse (238216122), we get a palindrome (459828954).

The spelling of 221612832 in words is "two hundred twenty-one million, six hundred twelve thousand, eight hundred thirty-two".