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23134112 = 252997257
BaseRepresentation
bin101100000111…
…1111110100000
31121112100000222
41120033332200
521410242422
62143502212
7400431251
oct130177640
947470028
1023134112
1112071001
1278b7968
134a3cb31
143102b28
15206e842
hex160ffa0

23134112 has 48 divisors (see below), whose sum is σ = 47786760. Its totient is φ = 11010048.

The previous prime is 23134103. The next prime is 23134117. The reversal of 23134112 is 21143132.

It can be written as a sum of positive squares in 4 ways, for example, as 23001616 + 132496 = 4796^2 + 364^2 .

It is not an unprimeable number, because it can be changed into a prime (23134117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89888 + ... + 90144.

Almost surely, 223134112 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 23134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23893380).

23134112 is an abundant number, since it is smaller than the sum of its proper divisors (24652648).

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

23134112 is a wasteful number, since it uses less digits than its factorization.

23134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 385 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 23134112 is about 4809.7933427539. The cubic root of 23134112 is about 284.9383759243.

Adding to 23134112 its reverse (21143132), we get a palindrome (44277244).

It can be divided in two parts, 2313 and 4112, that multiplied together give a square (9511056 = 30842).

The spelling of 23134112 in words is "twenty-three million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 97 116 194 232 257 388 464 514 776 928 1028 1552 2056 2813 3104 4112 5626 7453 8224 11252 14906 22504 24929 29812 45008 49858 59624 90016 99716 119248 199432 238496 398864 722941 797728 1445882 2891764 5783528 11567056 23134112