22769030400 has 216 divisors, whose sum is σ = 77175831264. Its totient is φ = 5907456000.

The previous prime is 22769030387. The next prime is 22769030407. The reversal of 22769030400 is 403096722.

It is a super-2 number, since 2×22769030400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22769030407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694375 + ... + 726425.

Almost surely, 2^22769030400 is an apocalyptic number.

22769030400 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 22769030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38587915632).

22769030400 is an abundant number, since it is smaller than the sum of its proper divisors (54406800864).

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

22769030400 is a wasteful number, since it uses less digits than its factorization.

22769030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32117 (or 32098 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 22769030400 in words is "twenty-two billion, seven hundred sixty-nine million, thirty thousand, four hundred".