22208225952 has 96 divisors (see below), whose sum is σ = 63645281280. Its totient is φ = 6724581120.

The previous prime is 22208225903. The next prime is 22208225971. The reversal of 22208225952 is 25952280222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 22208225952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495299 + ... + 1510077.

It is an arithmetic number, because the mean of its divisors is an integer number (662971680).

Almost surely, 2^22208225952 is an apocalyptic number.

22208225952 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 22208225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31822640640).

22208225952 is an abundant number, since it is smaller than the sum of its proper divisors (41437055328).

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

22208225952 is a wasteful number, since it uses less digits than its factorization.

22208225952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16226 (or 16218 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

It can be divided in two parts, 22208 and 225952, that added together give a triangular number (248160 = T₇₀₄).

The spelling of 22208225952 in words is "twenty-two billion, two hundred eight million, two hundred twenty-five thousand, nine hundred fifty-two".