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23145192 = 23327192417
BaseRepresentation
bin101100001001…
…0101011101000
31121112220020100
41120102223220
521411121232
62144025400
7400505460
oct130225350
947486210
1023145192
1112079364
127902260
134a44ba5
143106ba0
152072c7c
hex1612ae8

23145192 has 96 divisors (see below), whose sum is σ = 75441600. Its totient is φ = 6262272.

The previous prime is 23145179. The next prime is 23145203. The reversal of 23145192 is 29154132.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8368 + ... + 10784.

It is an arithmetic number, because the mean of its divisors is an integer number (785850).

Almost surely, 223145192 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 23145192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37720800).

23145192 is an abundant number, since it is smaller than the sum of its proper divisors (52296408).

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

23145192 is a wasteful number, since it uses less digits than its factorization.

23145192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2448 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 23145192 is about 4810.9450215108. The cubic root of 23145192 is about 284.9838587350.

The spelling of 23145192 in words is "twenty-three million, one hundred forty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 2417 3192 4788 4834 7251 9576 9668 14502 16919 19336 21753 29004 33838 43506 45923 50757 58008 67676 87012 91846 101514 135352 137769 152271 174024 183692 203028 275538 304542 321461 367384 406056 413307 551076 609084 642922 826614 964383 1102152 1218168 1285844 1653228 1928766 2571688 2893149 3306456 3857532 5786298 7715064 11572596 23145192