221262912 has 126 divisors (see below), whose sum is σ = 687050442. Its totient is φ = 68050944.

The previous prime is 221262911. The next prime is 221262913. The reversal of 221262912 is 219262122.

It is a happy number.

221262912 is a `hidden beast` number, since 2 + 21 + 2 + 629 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (221262911) and next prime (221262913).

It can be written as a sum of positive squares in 3 ways, for example, as 11128896 + 210134016 = 3336^2 + 14496^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221262911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96208 + ... + 98480.

Almost surely, 2^221262912 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 221262912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343525221).

221262912 is an abundant number, since it is smaller than the sum of its proper divisors (465787530).

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

221262912 is a wasteful number, since it uses less digits than its factorization.

221262912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2291 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 221262912 is about 14874.9088064432. The cubic root of 221262912 is about 604.8340158915.

The spelling of 221262912 in words is "two hundred twenty-one million, two hundred sixty-two thousand, nine hundred twelve".