Base | Representation |
---|---|
bin | 1010100011100111110100… |
… | …01010001011110001010000 |
3 | 10001012020220112021110111201 |
4 | 11101303322022023301100 |
5 | 11020320140230204412 |
6 | 121212242324120544 |
7 | 4614112344212140 |
oct | 521637212136120 |
9 | 101166815243451 |
10 | 23214200241232 |
11 | 74400a5930370 |
12 | 272b098836154 |
13 | cc51220819c0 |
14 | 5a3805154920 |
15 | 2a3cc4537e57 |
hex | 151cfa28bc50 |
23214200241232 has 320 divisors, whose sum is σ = 62526206066688. Its totient is φ = 8054982144000.
The previous prime is 23214200241229. The next prime is 23214200241277.
23214200241232 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 23214200241232.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164269548 + ... + 164410804.
Almost surely, 223214200241232 is an apocalyptic number.
23214200241232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23214200241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31263103033344).
23214200241232 is an abundant number, since it is smaller than the sum of its proper divisors (39312005825456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23214200241232 is a wasteful number, since it uses less digits than its factorization.
23214200241232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141658 (or 141652 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 28.
It can be divided in two parts, 23214200 and 241232, that added together give a palindrome (23455432).
The spelling of 23214200241232 in words is "twenty-three trillion, two hundred fourteen billion, two hundred million, two hundred forty-one thousand, two hundred thirty-two".
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