22945002300 has 576 divisors, whose sum is σ = 86019494400. Its totient is φ = 5188147200.

The previous prime is 22945002299. The next prime is 22945002347. The reversal of 22945002300 is 320054922.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41193622 + ... + 41194178.

It is an arithmetic number, because the mean of its divisors is an integer number (149339400).

Almost surely, 2^22945002300 is an apocalyptic number.

22945002300 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 22945002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43009747200).

22945002300 is an abundant number, since it is smaller than the sum of its proper divisors (63074492100).

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

22945002300 is a wasteful number, since it uses less digits than its factorization.

22945002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 22945002300 in words is "twenty-two billion, nine hundred forty-five million, two thousand, three hundred".