229742773925400 has 576 divisors, whose sum is σ = 805244627116800. Its totient is φ = 58636376064000.

The previous prime is 229742773925297. The next prime is 229742773925407. The reversal of 229742773925400 is 4529377247922.

It is a happy number.

229742773925400 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 427 + 73 + 92 + 54 + 0 + 0 = 666.

229742773925400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229742773925407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2056341540 + ... + 2056453260.

It is an arithmetic number, because the mean of its divisors is an integer number (1397994144300).

Almost surely, 2^{229742773925400} is an apocalyptic number.

229742773925400 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 229742773925400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402622313558400).

229742773925400 is an abundant number, since it is smaller than the sum of its proper divisors (575501853191400).

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

229742773925400 is a wasteful number, since it uses less digits than its factorization.

229742773925400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112180 (or 112168 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 229742773925400 in words is "two hundred twenty-nine trillion, seven hundred forty-two billion, seven hundred seventy-three million, nine hundred twenty-five thousand, four hundred".