234846852100 has 405 divisors, whose sum is σ = 636280462293. Its totient is φ = 75226979520.

The previous prime is 234846852061. The next prime is 234846852101. The reversal of 234846852100 is 1258648432.

It is a happy number.

The square root of 234846852100 is 484610.

It is a perfect power (a square), and thus also a powerful number.

234846852100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 84544866756 + 150301985344 = 290766^2 + 387688^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (234846852101) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 5461554679 + ... + 5461554721.

Almost surely, 2^234846852100 is an apocalyptic number.

234846852100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234846852100 is the 484610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234846852100

234846852100 is an abundant number, since it is smaller than the sum of its proper divisors (401433610193).

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

234846852100 is an equidigital number, since it uses as much as digits as its factorization.

234846852100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 234846852100 in words is "two hundred thirty-four billion, eight hundred forty-six million, eight hundred fifty-two thousand, one hundred".