Search a number
-
+
23167296 = 263441109
BaseRepresentation
bin101100001100…
…0000101000000
31121121000120000
41120120011000
521412323141
62144320000
7400630065
oct130300500
947530500
1023167296
1112093a29
127913000
134a51c79
143110c6c
1520795b6
hex1618140

23167296 has 140 divisors (see below), whose sum is σ = 70995540. Its totient is φ = 7464960.

The previous prime is 23167273. The next prime is 23167297. The reversal of 23167296 is 69276132.

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 15681600 = 2736^2 + 3960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23167296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23167297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212490 + ... + 212598.

It is an arithmetic number, because the mean of its divisors is an integer number (507111).

Almost surely, 223167296 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 23167296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35497770).

23167296 is an abundant number, since it is smaller than the sum of its proper divisors (47828244).

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

23167296 is a wasteful number, since it uses less digits than its factorization.

23167296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 23167296 is about 4813.2417350472. The cubic root of 23167296 is about 285.0745511341.

The spelling of 23167296 in words is "twenty-three million, one hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 109 123 144 162 164 192 216 218 246 288 324 327 328 369 432 436 492 576 648 654 656 738 864 872 981 984 1107 1296 1308 1312 1476 1728 1744 1962 1968 2214 2592 2616 2624 2943 2952 3321 3488 3924 3936 4428 4469 5184 5232 5886 5904 6642 6976 7848 7872 8829 8856 8938 10464 11772 11808 13284 13407 15696 17658 17712 17876 20928 23544 23616 26568 26814 31392 35316 35424 35752 40221 47088 53136 53628 62784 70632 70848 71504 80442 94176 106272 107256 120663 141264 143008 160884 188352 212544 214512 241326 282528 286016 321768 361989 429024 482652 565056 643536 723978 858048 965304 1287072 1447956 1930608 2574144 2895912 3861216 5791824 7722432 11583648 23167296