Search a number
-
+
232034230113400 = 235211313117157259
BaseRepresentation
bin110100110000100010101101…
…110111001001010001111000
31010102120020220110011121002101
4310300202231313021101320
5220403122100402112100
62141255015335513144
766605630346462061
oct6460425567112170
91112506813147071
10232034230113400
1167a2a189863000
12220359562287b4
139c61970817a60
1441427339dd568
151bc5b21eeb86a
hexd308addc9478

232034230113400 has 384 divisors, whose sum is σ = 639589051180800. Its totient is φ = 77817744576000.

The previous prime is 232034230113383. The next prime is 232034230113401. The reversal of 232034230113400 is 4311032430232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232034230113401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4052333971 + ... + 4052391229.

It is an arithmetic number, because the mean of its divisors is an integer number (1665596487450).

Almost surely, 2232034230113400 is an apocalyptic number.

232034230113400 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 232034230113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319794525590400).

232034230113400 is an abundant number, since it is smaller than the sum of its proper divisors (407554821067400).

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

232034230113400 is a wasteful number, since it uses less digits than its factorization.

232034230113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58492 (or 58461 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 232034230113400 its reverse (4311032430232), we get a palindrome (236345262543632).

The spelling of 232034230113400 in words is "two hundred thirty-two trillion, thirty-four billion, two hundred thirty million, one hundred thirteen thousand, four hundred".