Base | Representation |
---|---|
bin | 110100010110001001000101… |
… | …010100100100111000010000 |
3 | 1010012010211001122011220000200 |
4 | 310112021011110210320100 |
5 | 220133411030001201112 |
6 | 2133345335152415200 |
7 | 66330563134236126 |
oct | 6426110524447020 |
9 | 1105124048156020 |
10 | 230220000022032 |
11 | 6739a83220a129 |
12 | 219a2218247500 |
13 | 9b5c864401c57 |
14 | 40bc9c9381916 |
15 | 1b9383d05ecdc |
hex | d16245524e10 |
230220000022032 has 60 divisors (see below), whose sum is σ = 644298706244700. Its totient is φ = 76739707459584.
The previous prime is 230220000022021. The next prime is 230220000022039.
230220000022032 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 131642028343296 + 98577971678736 = 11473536^2 + 9928644^2 .
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 = 230220000021996 and 230220000022014.
It is not an unprimeable number, because it can be changed into a prime (230220000022039) 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, 36646344 + ... + 42466392.
It is an arithmetic number, because the mean of its divisors is an integer number (10738311770745).
Almost surely, 2230220000022032 is an apocalyptic number.
It is an amenable number.
230220000022032 is an abundant number, since it is smaller than the sum of its proper divisors (414078706222668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230220000022032 is a wasteful number, since it uses less digits than its factorization.
230220000022032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6094760 (or 6094751 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
It can be divided in two parts, 2302200000 and 22032, that added together give a palindrome (2302222032).
The spelling of 230220000022032 in words is "two hundred thirty trillion, two hundred twenty billion, twenty-two thousand, thirty-two".
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