22503198240 has 288 divisors, whose sum is σ = 77915597760. Its totient is φ = 5913741312.

The previous prime is 22503198187. The next prime is 22503198247. The reversal of 22503198240 is 4289130522.

It is a happy number.

22503198240 is a `hidden beast` number, since 22 + 503 + 1 + 98 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 22503198195 and 22503198204.

It is not an unprimeable number, because it can be changed into a prime (22503198247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48186487 + ... + 48186953.

It is an arithmetic number, because the mean of its divisors is an integer number (270540270).

Almost surely, 2^22503198240 is an apocalyptic number.

22503198240 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 22503198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38957798880).

22503198240 is an abundant number, since it is smaller than the sum of its proper divisors (55412399520).

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

22503198240 is a wasteful number, since it uses less digits than its factorization.

22503198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22503198240 in words is "twenty-two billion, five hundred three million, one hundred ninety-eight thousand, two hundred forty".