Base | Representation |
---|---|
bin | 10010111011000011110110… |
… | …100001111111001111101110 |
3 | 101220200002012101211211020210 |
4 | 102323003312201333033232 |
5 | 41402013032120312423 |
6 | 453000151254123250 |
7 | 23346456663532044 |
oct | 2273036641771756 |
9 | 356602171754223 |
10 | 83223422432238 |
11 | 24576945373030 |
12 | 940130b950526 |
13 | 3758c2043723a |
14 | 167a06c5c0394 |
15 | 994c73a56b93 |
hex | 4bb0f687f3ee |
83223422432238 has 128 divisors (see below), whose sum is σ = 187880546939904. Its totient is φ = 24356479795200.
The previous prime is 83223422432221. The next prime is 83223422432261.
83223422432238 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×832234224322382 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796245070 + ... + 796349582.
It is an arithmetic number, because the mean of its divisors is an integer number (1467816772968).
Almost surely, 283223422432238 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 83223422432238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93940273469952).
83223422432238 is an abundant number, since it is smaller than the sum of its proper divisors (104657124507666).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83223422432238 is a wasteful number, since it uses less digits than its factorization.
83223422432238 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107530.
The product of its digits is 5308416, while the sum is 48.
The spelling of 83223422432238 in words is "eighty-three trillion, two hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, two hundred thirty-eight".
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