221252634 has 80 divisors (see below), whose sum is σ = 513493992. Its totient is φ = 71165952.

The previous prime is 221252623. The next prime is 221252651. The reversal of 221252634 is 436252122.

It is a happy number.

221252634 is a `hidden beast` number, since 2 + 2 + 1 + 25 + 2 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202977009 + 18275625 = 14247^2 + 4275^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221252598 and 221252607.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 626602 + ... + 626954.

Almost surely, 2^221252634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221252634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256746996).

221252634 is an abundant number, since it is smaller than the sum of its proper divisors (292241358).

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

221252634 is a wasteful number, since it uses less digits than its factorization.

221252634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 221252634 is about 14874.5633213214. The cubic root of 221252634 is about 604.8246505920.

The spelling of 221252634 in words is "two hundred twenty-one million, two hundred fifty-two thousand, six hundred thirty-four".