221253252 has 96 divisors (see below), whose sum is σ = 605767680. Its totient is φ = 62133120.

The previous prime is 221253251. The next prime is 221253259. The reversal of 221253252 is 252352122.

It is not an unprimeable number, because it can be changed into a prime (221253251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116938 + ... + 118814.

It is an arithmetic number, because the mean of its divisors is an integer number (6310080).

Almost surely, 2^221253252 is an apocalyptic number.

221253252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221253252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302883840).

221253252 is an abundant number, since it is smaller than the sum of its proper divisors (384514428).

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

221253252 is a wasteful number, since it uses less digits than its factorization.

221253252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1959 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 221253252 is about 14874.5840950260. The cubic root of 221253252 is about 604.8252137210.

The spelling of 221253252 in words is "two hundred twenty-one million, two hundred fifty-three thousand, two hundred fifty-two".