Search a number
-
+
232220144044233 = 3229388062246509
BaseRepresentation
bin110100110011001111110111…
…001100100000100011001001
31010110020000210010000211022100
4310303033313030200203021
5220414143323333403413
62141520243400344013
766625231436016042
oct6463176714404311
91113200703024270
10232220144044233
1167aa1012389a24
12220659a0475009
139c7635b751357
14414b72d0018c9
151bca8a39daa73
hexd333f73208c9

232220144044233 has 12 divisors (see below), whose sum is σ = 336573906161220. Its totient is φ = 154285055882016.

The previous prime is 232220144044223. The next prime is 232220144044237. The reversal of 232220144044233 is 332440441022232.

232220144044233 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 2 + 0 + 14 + 404 + 4 + 233 = 666.

232220144044233 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 2 ways, for example, as 176636140945209 + 55584003099024 = 13290453^2 + 7455468^2 .

It is not a de Polignac number, because 232220144044233 - 29 = 232220144043721 is a prime.

It is a super-2 number, since 2×2322201440442332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232220144044237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44031120618 + ... + 44031125891.

It is an arithmetic number, because the mean of its divisors is an integer number (28047825513435).

Almost surely, 2232220144044233 is an apocalyptic number.

It is an amenable number.

232220144044233 is a deficient number, since it is larger than the sum of its proper divisors (104353762116987).

232220144044233 is a wasteful number, since it uses less digits than its factorization.

232220144044233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88062246808 (or 88062246805 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 232220144044233 its reverse (332440441022232), we get a palindrome (564660585066465).

The spelling of 232220144044233 in words is "two hundred thirty-two trillion, two hundred twenty billion, one hundred forty-four million, forty-four thousand, two hundred thirty-three".

Divisors: 1 3 9 293 879 2637 88062246509 264186739527 792560218581 25802238227137 77406714681411 232220144044233