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230002231122 = 23229440617301
BaseRepresentation
bin1101011000110100110…
…0111000011101010010
3210222200020202221101200
43112031030320131102
512232021032343442
6253354522012030
722421445464406
oct3261514703522
9728606687350
10230002231122
11895a8299534
12386ab347016
13188c5cb5961
14b1bc94b106
155eb238e34c
hex358d338752

230002231122 has 24 divisors (see below), whose sum is σ = 515522243340. Its totient is φ = 74023706400.

The previous prime is 230002231117. The next prime is 230002231183. The reversal of 230002231122 is 221132200032.

230002231122 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 228437158401 + 1565072721 = 477951^2 + 39561^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230002231095 and 230002231104.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 220308129 + ... + 220309172.

Almost surely, 2230002231122 is an apocalyptic number.

230002231122 is an abundant number, since it is smaller than the sum of its proper divisors (285520012218).

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

230002231122 is a wasteful number, since it uses less digits than its factorization.

230002231122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440617338 (or 440617335 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230002231122 its reverse (221132200032), we get a palindrome (451134431154).

The spelling of 230002231122 in words is "two hundred thirty billion, two million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 440617301 881234602 1321851903 2643703806 3965555709 7931111418 12777901729 25555803458 38333705187 76667410374 115001115561 230002231122