Search a number
-
+
23030112 = 253743797
BaseRepresentation
bin101011111011…
…0100101100000
31121100001101010
41113312211200
521343430422
62141340520
7366516120
oct127664540
947301333
1023030112
1111aaa956
127867740
134a046b1
1430b6c80
15204db0c
hex15f6960

23030112 has 96 divisors (see below), whose sum is σ = 70785792. Its totient is φ = 6418944.

The previous prime is 23030101. The next prime is 23030129. The reversal of 23030112 is 21103032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28498 + ... + 29294.

It is an arithmetic number, because the mean of its divisors is an integer number (737352).

Almost surely, 223030112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392896).

23030112 is an abundant number, since it is smaller than the sum of its proper divisors (47755680).

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

23030112 is a wasteful number, since it uses less digits than its factorization.

23030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 23030112 is about 4798.9698894659. The cubic root of 23030112 is about 284.5107518667.

Adding to 23030112 its reverse (21103032), we get a palindrome (44133144).

The spelling of 23030112 in words is "twenty-three million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 797 903 1032 1204 1376 1594 1806 2064 2391 2408 3188 3612 4128 4782 4816 5579 6376 7224 9564 9632 11158 12752 14448 16737 19128 22316 25504 28896 33474 34271 38256 44632 66948 68542 76512 89264 102813 133896 137084 178528 205626 239897 267792 274168 411252 479794 535584 548336 719691 822504 959588 1096672 1439382 1645008 1919176 2878764 3290016 3838352 5757528 7676704 11515056 23030112