22138225200 has 360 divisors, whose sum is σ = 94556218848. Its totient is φ = 4670853120.

The previous prime is 22138225177. The next prime is 22138225211. The reversal of 22138225200 is 252283122.

22138225200 is a `hidden beast` number, since 2 + 2 + 138 + 2 + 2 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 293812 + ... + 361388.

Almost surely, 2^22138225200 is an apocalyptic number.

22138225200 is a gapful number since it is divisible by the number (20) 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 22138225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47278109424).

22138225200 is an abundant number, since it is smaller than the sum of its proper divisors (72417993648).

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

22138225200 is a wasteful number, since it uses less digits than its factorization.

22138225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67621 (or 67607 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 22138225200 in words is "twenty-two billion, one hundred thirty-eight million, two hundred twenty-five thousand, two hundred".