221841952 has 48 divisors (see below), whose sum is σ = 454132224. Its totient is φ = 106560000.

The previous prime is 221841937. The next prime is 221841953. The reversal of 221841952 is 259148122.

It is not an unprimeable number, because it can be changed into a prime (221841953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149052 + ... + 150532.

It is an arithmetic number, because the mean of its divisors is an integer number (9461088).

Almost surely, 2^221841952 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 221841952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227066112).

221841952 is an abundant number, since it is smaller than the sum of its proper divisors (232290272).

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

221841952 is a wasteful number, since it uses less digits than its factorization.

221841952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1665 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 221841952 is about 14894.3597378336. The cubic root of 221841952 is about 605.3611685898.

The spelling of 221841952 in words is "two hundred twenty-one million, eight hundred forty-one thousand, nine hundred fifty-two".