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23171328 = 283289113
BaseRepresentation
bin101100001100…
…1000100000000
31121121020002100
41120121010000
521412440303
62144350400
7400644615
oct130310400
947536070
1023171328
1112096a64
127915400
134a53a5b
14311250c
15207a8a3
hex1619100

23171328 has 108 divisors (see below), whose sum is σ = 68157180. Its totient is φ = 7569408.

The previous prime is 23171299. The next prime is 23171339. The reversal of 23171328 is 82317132.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 21233664 = 1392^2 + 4608^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (2016) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 205000 + ... + 205112.

It is an arithmetic number, because the mean of its divisors is an integer number (631085).

Almost surely, 223171328 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 23171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34078590).

23171328 is an abundant number, since it is smaller than the sum of its proper divisors (44985852).

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

23171328 is a wasteful number, since it uses less digits than its factorization.

23171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 23171328 is about 4813.6605613608. The cubic root of 23171328 is about 285.0910881513.

The spelling of 23171328 in words is "twenty-three million, one hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 113 128 144 178 192 226 256 267 288 339 356 384 452 534 576 678 712 768 801 904 1017 1068 1152 1356 1424 1602 1808 2034 2136 2304 2712 2848 3204 3616 4068 4272 5424 5696 6408 7232 8136 8544 10057 10848 11392 12816 14464 16272 17088 20114 21696 22784 25632 28928 30171 32544 34176 40228 43392 51264 60342 65088 68352 80456 86784 90513 102528 120684 130176 160912 181026 205056 241368 260352 321824 362052 482736 643648 724104 965472 1287296 1448208 1930944 2574592 2896416 3861888 5792832 7723776 11585664 23171328