Search a number
-
+
232035575805796 = 227217229222072
BaseRepresentation
bin110100110000100011111110…
…000100100011011101100100
31010102120101101020022212000111
4310300203332010203131210
5220403132324401241141
62141255401050422404
766606005606616400
oct6460437604433544
91112511336285014
10232035575805796
1167a2a80a429684
1222036070a31a04
139c61b26560549
144142820616100
151bc5ba0215381
hexd308fe123764

232035575805796 has 243 divisors, whose sum is σ = 519913288228971. Its totient is φ = 90325850721792.

The previous prime is 232035575805773. The next prime is 232035575805829. The reversal of 232035575805796 is 697508575530232.

The square root of 232035575805796 is 15232714.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22936340856100 + 209099234949696 = 4789190^2 + 14460264^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 105136190925 + ... + 105136193131.

Almost surely, 2232035575805796 is an apocalyptic number.

232035575805796 is the 15232714-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232035575805796

232035575805796 is an abundant number, since it is smaller than the sum of its proper divisors (287877712423175).

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

232035575805796 is an equidigital number, since it uses as much as digits as its factorization.

232035575805796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 476280000, while the sum is 67.

The spelling of 232035575805796 in words is "two hundred thirty-two trillion, thirty-five billion, five hundred seventy-five million, eight hundred five thousand, seven hundred ninety-six".