225729930426 has 576 divisors, whose sum is σ = 661975856640. Its totient is φ = 50427982080.

The previous prime is 225729930409. The next prime is 225729930457. The reversal of 225729930426 is 624039927522.

It is a happy number.

225729930426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1623956265 + ... + 1623956403.

It is an arithmetic number, because the mean of its divisors is an integer number (1149263640).

Almost surely, 2^225729930426 is an apocalyptic number.

225729930426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225729930426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330987928320).

225729930426 is an abundant number, since it is smaller than the sum of its proper divisors (436245926214).

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

225729930426 is a wasteful number, since it uses less digits than its factorization.

225729930426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 225729930426 in words is "two hundred twenty-five billion, seven hundred twenty-nine million, nine hundred thirty thousand, four hundred twenty-six".