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230122332333072 = 24321598071752313
BaseRepresentation
bin110100010100101110000111…
…110111111010010000010000
31010011210110222000012020001100
4310110232013313322100100
5220130311014034124242
62133232423503104400
766320534630464224
oct6424560767722020
91104713860166040
10230122332333072
1167362373363913
12219872bb5a2100
139b5359ab6b51a
1440b7da1da0784
151b9102397a54c
hexd14b87dfa410

230122332333072 has 30 divisors (see below), whose sum is σ = 644022916182542. Its totient is φ = 76707444110976.

The previous prime is 230122332333037. The next prime is 230122332333073. The reversal of 230122332333072 is 270333233221032.

230122332333072 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 23 + 323 + 3 + 307 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 215665789998096 + 14456542334976 = 14685564^2 + 3802176^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230122332333073) 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 5 ways as a sum of consecutive naturals, for example, 799035876013 + ... + 799035876300.

Almost surely, 2230122332333072 is an apocalyptic number.

It is an amenable number.

230122332333072 is an abundant number, since it is smaller than the sum of its proper divisors (413900583849470).

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

230122332333072 is a wasteful number, since it uses less digits than its factorization.

230122332333072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598071752327 (or 1598071752318 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 36.

The spelling of 230122332333072 in words is "two hundred thirty trillion, one hundred twenty-two billion, three hundred thirty-two million, three hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1598071752313 3196143504626 4794215256939 6392287009252 9588430513878 12784574018504 14382645770817 19176861027756 25569148037008 28765291541634 38353722055512 57530583083268 76707444111024 115061166166536 230122332333072