Base | Representation |
---|---|
bin | 100011010000110011001… |
… | …011100011110100001010 |
3 | 22120122202101100210001010 |
4 | 203100303023203310022 |
5 | 304200223334120432 |
6 | 5053113443104350 |
7 | 340033441021650 |
oct | 43206313436412 |
9 | 8518671323033 |
10 | 2423220223242 |
11 | 854755708625 |
12 | 3317776720b6 |
13 | 14767c779a80 |
14 | 853da8a8dd0 |
15 | 430781d73cc |
hex | 234332e3d0a |
2423220223242 has 256 divisors, whose sum is σ = 6213576821760. Its totient is φ = 612986683392.
The previous prime is 2423220223223. The next prime is 2423220223261.
It is a happy number.
2423220223242 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (2423220223223) and next prime (2423220223261).
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 127 ways as a sum of consecutive naturals, for example, 527128488 + ... + 527133084.
It is an arithmetic number, because the mean of its divisors is an integer number (24271784460).
Almost surely, 22423220223242 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2423220223242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106788410880).
2423220223242 is an abundant number, since it is smaller than the sum of its proper divisors (3790356598518).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2423220223242 is a wasteful number, since it uses less digits than its factorization.
2423220223242 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5025.
The product of its (nonzero) digits is 36864, while the sum is 30.
It can be divided in two parts, 2423220 and 223242, that added together give a palindrome (2646462).
The spelling of 2423220223242 in words is "two trillion, four hundred twenty-three billion, two hundred twenty million, two hundred twenty-three thousand, two hundred forty-two".
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