22402004430300 has 288 divisors, whose sum is σ = 70897988738304. Its totient is φ = 5416276992000.

The previous prime is 22402004430277. The next prime is 22402004430301. The reversal of 22402004430300 is 303440020422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22402004430301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4963880844 + ... + 4963885356.

It is an arithmetic number, because the mean of its divisors is an integer number (246173572008).

Almost surely, 2^{22402004430300} is an apocalyptic number.

22402004430300 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 22402004430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35448994369152).

22402004430300 is an abundant number, since it is smaller than the sum of its proper divisors (48495984308004).

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

22402004430300 is a wasteful number, since it uses less digits than its factorization.

22402004430300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8229 (or 8222 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22402004430300 its reverse (303440020422), we get a palindrome (22705444450722).

The spelling of 22402004430300 in words is "twenty-two trillion, four hundred two billion, four million, four hundred thirty thousand, three hundred".