22306026400 has 288 divisors, whose sum is σ = 67439433600. Its totient is φ = 7029227520.

The previous prime is 22306026397. The next prime is 22306026461. The reversal of 22306026400 is 462060322.

It is a happy number.

It is a super-4 number, since 4×22306026400⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 4090876 + ... + 4096324.

It is an arithmetic number, because the mean of its divisors is an integer number (234164700).

Almost surely, 2^22306026400 is an apocalyptic number.

22306026400 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 22306026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33719716800).

22306026400 is an abundant number, since it is smaller than the sum of its proper divisors (45133407200).

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

22306026400 is a wasteful number, since it uses less digits than its factorization.

22306026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22306026400 its reverse (462060322), we get a palindrome (22768086722).

The spelling of 22306026400 in words is "twenty-two billion, three hundred six million, twenty-six thousand, four hundred".