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23100 = 22352711
BaseRepresentation
bin101101000111100
31011200120
411220330
51214400
6254540
7124230
oct55074
934616
1023100
11163a0
1211450
13a68c
1485c0
156ca0
hex5a3c

23100 has 72 divisors (see below), whose sum is σ = 83328. Its totient is φ = 4800.

The previous prime is 23099. The next prime is 23117. The reversal of 23100 is 132.

Adding to 23100 its reverse (132), we get a palindrome (23232).

23100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×231002 = 1067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2095 + ... + 2105.

223100 is an apocalyptic number.

23100 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 23100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

23100 is an abundant number, since it is smaller than the sum of its proper divisors (60228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23100 is a wasteful number, since it uses less digits than its factorization.

23100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 23100 is about 151.9868415357. The cubic root of 23100 is about 28.4798256733.

The spelling of 23100 in words is "twenty-three thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100