Base | Representation |
---|---|
bin | 101100001001… |
… | …1001001011100 |
3 | 1121112222212000 |
4 | 1120103021130 |
5 | 21411201400 |
6 | 2144042300 |
7 | 400514154 |
oct | 130231134 |
9 | 47488760 |
10 | 23147100 |
11 | 1207a839 |
12 | 7903390 |
13 | 4a45a12 |
14 | 3107764 |
15 | 2073600 |
hex | 161325c |
23147100 has 72 divisors (see below), whose sum is σ = 74422320. Its totient is φ = 6171840.
The previous prime is 23147071. The next prime is 23147101. The reversal of 23147100 is 174132.
It is a super-3 number, since 3×231471003 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23147101) 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 23 ways as a sum of consecutive naturals, for example, 1587 + ... + 6986.
Almost surely, 223147100 is an apocalyptic number.
23147100 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 23147100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37211160).
23147100 is an abundant number, since it is smaller than the sum of its proper divisors (51275220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23147100 is a wasteful number, since it uses less digits than its factorization.
23147100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8596 (or 8583 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 23147100 is about 4811.1433152630. The cubic root of 23147100 is about 284.9916895084.
The spelling of 23147100 in words is "twenty-three million, one hundred forty-seven thousand, one hundred".
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