22738401000 has 960 divisors, whose sum is σ = 98189554320. Its totient is φ = 4877107200.

The previous prime is 22738400977. The next prime is 22738401001. The reversal of 22738401000 is 10483722.

22738401000 is a `hidden beast` number, since 227 + 38 + 401 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 968578884 + 21769822116 = 31122^2 + 147546^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22738401001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 67472832 + ... + 67473168.

Almost surely, 2^22738401000 is an apocalyptic number.

22738401000 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 22738401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49094777160).

22738401000 is an abundant number, since it is smaller than the sum of its proper divisors (75451153320).

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

22738401000 is a wasteful number, since it uses less digits than its factorization.

22738401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 22738401000 its reverse (10483722), we get a palindrome (22748884722).

The spelling of 22738401000 in words is "twenty-two billion, seven hundred thirty-eight million, four hundred one thousand".