221942952 has 384 divisors, whose sum is σ = 823680000. Its totient is φ = 53343360.

The previous prime is 221942891. The next prime is 221942953. The reversal of 221942952 is 259249122.

221942952 is a `hidden beast` number, since 221 + 9 + 429 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221942953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5161443 + ... + 5161485.

It is an arithmetic number, because the mean of its divisors is an integer number (2145000).

Almost surely, 2^221942952 is an apocalyptic number.

221942952 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 221942952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411840000).

221942952 is an abundant number, since it is smaller than the sum of its proper divisors (601737048).

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

221942952 is a wasteful number, since it uses less digits than its factorization.

221942952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 221942952 is about 14897.7498972160. The cubic root of 221942952 is about 605.4530240768.

The spelling of 221942952 in words is "two hundred twenty-one million, nine hundred forty-two thousand, nine hundred fifty-two".