22870003200 has 480 divisors, whose sum is σ = 85305432960. Its totient is φ = 5350195200.

The previous prime is 22870003193. The next prime is 22870003249. The reversal of 22870003200 is 230007822.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12248667 + ... + 12250533.

It is an arithmetic number, because the mean of its divisors is an integer number (177719652).

Almost surely, 2^22870003200 is an apocalyptic number.

22870003200 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 22870003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42652716480).

22870003200 is an abundant number, since it is smaller than the sum of its proper divisors (62435429760).

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

22870003200 is a wasteful number, since it uses less digits than its factorization.

22870003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 22870003200 in words is "twenty-two billion, eight hundred seventy million, three thousand, two hundred".