Search a number
-
+
23163744 = 2531012389
BaseRepresentation
bin101100001011…
…1001101100000
31121120211200110
41120113031200
521412214434
62144251320
7400613532
oct130271540
947524613
1023163744
111209129a
127910b40
134a50476
14310d852
1520784e9
hex1617360

23163744 has 48 divisors (see below), whose sum is σ = 61432560. Its totient is φ = 7641600.

The previous prime is 23163743. The next prime is 23163769. The reversal of 23163744 is 44736132.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23163743) 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 7 ways as a sum of consecutive naturals, for example, 8502 + ... + 10890.

It is an arithmetic number, because the mean of its divisors is an integer number (1279845).

Almost surely, 223163744 is an apocalyptic number.

23163744 is a gapful number since it is divisible by the number (24) 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 23163744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30716280).

23163744 is an abundant number, since it is smaller than the sum of its proper divisors (38268816).

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

23163744 is a wasteful number, since it uses less digits than its factorization.

23163744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2495 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 23163744 is about 4812.8727388120. The cubic root of 23163744 is about 285.0599812197.

Adding to 23163744 its reverse (44736132), we get a palindrome (67899876).

The spelling of 23163744 in words is "twenty-three million, one hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2389 2424 3232 4778 4848 7167 9556 9696 14334 19112 28668 38224 57336 76448 114672 229344 241289 482578 723867 965156 1447734 1930312 2895468 3860624 5790936 7721248 11581872 23163744