Base | Representation |
---|---|
bin | 101101011110… |
… | …1111111110100 |
3 | 1122212112210112 |
4 | 1122331333310 |
5 | 22101100100 |
6 | 2211042152 |
7 | 406460330 |
oct | 132757764 |
9 | 48775715 |
10 | 23846900 |
11 | 12508590 |
12 | 7ba0358 |
13 | 4c2c3bc |
14 | 324a7c0 |
15 | 2160b35 |
hex | 16bdff4 |
23846900 has 144 divisors (see below), whose sum is σ = 68328960. Its totient is φ = 6998400.
The previous prime is 23846899. The next prime is 23846909. The reversal of 23846900 is 964832.
It is a super-2 number, since 2×238469002 = 1137349279220000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23846909) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146219 + ... + 146381.
Almost surely, 223846900 is an apocalyptic number.
23846900 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 23846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34164480).
23846900 is an abundant number, since it is smaller than the sum of its proper divisors (44482060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23846900 is a wasteful number, since it uses less digits than its factorization.
23846900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 214 (or 207 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 32.
The square root of 23846900 is about 4883.3287827055. The cubic root of 23846900 is about 287.8352484924.
The spelling of 23846900 in words is "twenty-three million, eight hundred forty-six thousand, nine hundred".
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