22150413200 has 60 divisors (see below), whose sum is σ = 53704696980. Its totient is φ = 8778862080.

The previous prime is 22150413193. The next prime is 22150413203. The reversal of 22150413200 is 231405122.

It can be written as a sum of positive squares in 6 ways, for example, as 3181411216 + 18969001984 = 56404^2 + 137728^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22150413203) 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, 210419 + ... + 297618.

It is an arithmetic number, because the mean of its divisors is an integer number (895078283).

Almost surely, 2^22150413200 is an apocalyptic number.

22150413200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22150413200 is an abundant number, since it is smaller than the sum of its proper divisors (31554283780).

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

22150413200 is a wasteful number, since it uses less digits than its factorization.

22150413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508164 (or 508153 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22150413200 its reverse (231405122), we get a palindrome (22381818322).

The spelling of 22150413200 in words is "twenty-two billion, one hundred fifty million, four hundred thirteen thousand, two hundred".