22025071400 has 192 divisors, whose sum is σ = 55306817280. Its totient is φ = 8135424000.

The previous prime is 22025071399. The next prime is 22025071417. The reversal of 22025071400 is 417052022.

It is a happy number.

It is a super-3 number, since 3×22025071400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 25699772 + ... + 25700628.

It is an arithmetic number, because the mean of its divisors is an integer number (288056340).

Almost surely, 2^22025071400 is an apocalyptic number.

22025071400 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 22025071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27653408640).

22025071400 is an abundant number, since it is smaller than the sum of its proper divisors (33281745880).

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

22025071400 is a wasteful number, since it uses less digits than its factorization.

22025071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The spelling of 22025071400 in words is "twenty-two billion, twenty-five million, seventy-one thousand, four hundred".