Base | Representation |
---|---|
bin | 10101011011110011… |
… | …010100000111100000 |
3 | 2012101221210220010112 |
4 | 111123303110013200 |
5 | 334113320434010 |
6 | 14323431350452 |
7 | 1443222253514 |
oct | 253363240740 |
9 | 65357726115 |
10 | 23015014880 |
11 | 9840415360 |
12 | 4563822428 |
13 | 222a218500 |
14 | 11848ba144 |
15 | 8ea7c8a05 |
hex | 55bcd41e0 |
23015014880 has 144 divisors (see below), whose sum is σ = 64230549264. Its totient is φ = 7725219840.
The previous prime is 23015014861. The next prime is 23015014889. The reversal of 23015014880 is 8841051032.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23015014889) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258752 + ... + 336128.
It is an arithmetic number, because the mean of its divisors is an integer number (446045481).
Almost surely, 223015014880 is an apocalyptic number.
23015014880 is a gapful number since it is divisible by the number (20) 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 23015014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32115274632).
23015014880 is an abundant number, since it is smaller than the sum of its proper divisors (41215534384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23015014880 is a wasteful number, since it uses less digits than its factorization.
23015014880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 77429 (or 77408 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 32.
The spelling of 23015014880 in words is "twenty-three billion, fifteen million, fourteen thousand, eight hundred eighty".
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