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23146368 = 273779109
BaseRepresentation
bin101100001001…
…0111110000000
31121112221211220
41120102332000
521411140433
62144035040
7400512060
oct130227600
947487756
1023146368
111207a233
127902a80
134a4559b
1431073a0
1520732b3
hex1612f80

23146368 has 128 divisors (see below), whose sum is σ = 71808000. Its totient is φ = 6469632.

The previous prime is 23146327. The next prime is 23146369. The reversal of 23146368 is 86364132.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23146369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212298 + ... + 212406.

It is an arithmetic number, because the mean of its divisors is an integer number (561000).

Almost surely, 223146368 is an apocalyptic number.

23146368 is a gapful number since it is divisible by the number (28) 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 23146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904000).

23146368 is an abundant number, since it is smaller than the sum of its proper divisors (48661632).

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

23146368 is a wasteful number, since it uses less digits than its factorization.

23146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 23146368 is about 4811.0672412678. The cubic root of 23146368 is about 284.9886853003.

The spelling of 23146368 in words is "twenty-three million, one hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 109 112 128 158 168 192 218 224 237 316 327 336 384 436 448 474 553 632 654 672 763 872 896 948 1106 1264 1308 1344 1526 1659 1744 1896 2212 2289 2528 2616 2688 3052 3318 3488 3792 4424 4578 5056 5232 6104 6636 6976 7584 8611 8848 9156 10112 10464 12208 13272 13952 15168 17222 17696 18312 20928 24416 25833 26544 30336 34444 35392 36624 41856 48832 51666 53088 60277 68888 70784 73248 97664 103332 106176 120554 137776 146496 180831 206664 212352 241108 275552 292992 361662 413328 482216 551104 723324 826656 964432 1102208 1446648 1653312 1928864 2893296 3306624 3857728 5786592 7715456 11573184 23146368