Base | Representation |
---|---|
bin | 1000010100001110… |
… | …1011000000100010 |
3 | 12202120112020020220 |
4 | 2011003223000202 |
5 | 14032434113242 |
6 | 1005302343510 |
7 | 106214340333 |
oct | 20503530042 |
9 | 5676466226 |
10 | 2232332322 |
11 | a46103350 |
12 | 52372ab96 |
13 | 2976420cc |
14 | 17269628a |
15 | d0ea6bec |
hex | 850eb022 |
2232332322 has 64 divisors (see below), whose sum is σ = 5296523904. Its totient is φ = 619453440.
The previous prime is 2232332303. The next prime is 2232332327.
2232332322 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×22323323223 (a number of 29 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2232332292 and 2232332301.
It is not an unprimeable number, because it can be changed into a prime (2232332327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14628 + ... + 68400.
It is an arithmetic number, because the mean of its divisors is an integer number (82758186).
Almost surely, 22232332322 is an apocalyptic number.
2232332322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2232332322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648261952).
2232332322 is an abundant number, since it is smaller than the sum of its proper divisors (3064191582).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232332322 is a wasteful number, since it uses less digits than its factorization.
2232332322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53843.
The product of its digits is 5184, while the sum is 24.
The square root of 2232332322 is about 47247.5641911834. The cubic root of 2232332322 is about 1306.9318719151.
It can be divided in two parts, 22323 and 32322, that added together give a palindrome (54645).
The spelling of 2232332322 in words is "two billion, two hundred thirty-two million, three hundred thirty-two thousand, three hundred twenty-two".
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