22205952 has 120 divisors (see below), whose sum is σ = 65963040. Its totient is φ = 7188480.

The previous prime is 22205947. The next prime is 22205959. The reversal of 22205952 is 25950222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281049 + ... + 281127.

It is an arithmetic number, because the mean of its divisors is an integer number (549692).

Almost surely, 2^22205952 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 22205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32981520).

22205952 is an abundant number, since it is smaller than the sum of its proper divisors (43757088).

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

22205952 is an equidigital number, since it uses as much as digits as its factorization.

22205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 22205952 is about 4712.3191742496. The cubic root of 22205952 is about 281.0755908304.

It can be divided in two parts, 222059 and 52, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 22205952 in words is "twenty-two million, two hundred five thousand, nine hundred fifty-two".