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23820192 = 25321173103
BaseRepresentation
bin101101011011…
…1011110100000
31122211012011100
41122313132200
522044221232
62210314400
7406316424
oct132673640
948735140
1023820192
111249a510
127b88a00
134c201b6
143240b84
152157c7c
hex16b77a0

23820192 has 144 divisors (see below), whose sum is σ = 75636288. Its totient is φ = 7050240.

The previous prime is 23820169. The next prime is 23820229. The reversal of 23820192 is 29102832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231213 + ... + 231315.

It is an arithmetic number, because the mean of its divisors is an integer number (525252).

Almost surely, 223820192 is an apocalyptic number.

23820192 is a gapful number since it is divisible by the number (22) 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 23820192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37818144).

23820192 is an abundant number, since it is smaller than the sum of its proper divisors (51816096).

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

23820192 is a wasteful number, since it uses less digits than its factorization.

23820192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23820192 is about 4880.5934065439. The cubic root of 23820192 is about 287.7277519828.

The spelling of 23820192 in words is "twenty-three million, eight hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 73 88 96 99 103 132 144 146 176 198 206 219 264 288 292 309 352 396 412 438 528 584 618 657 792 803 824 876 927 1056 1133 1168 1236 1314 1584 1606 1648 1752 1854 2266 2336 2409 2472 2628 3168 3212 3296 3399 3504 3708 4532 4818 4944 5256 6424 6798 7008 7227 7416 7519 9064 9636 9888 10197 10512 12848 13596 14454 14832 15038 18128 19272 20394 21024 22557 25696 27192 28908 29664 30076 36256 38544 40788 45114 54384 57816 60152 67671 77088 81576 82709 90228 108768 115632 120304 135342 163152 165418 180456 231264 240608 248127 270684 326304 330836 360912 496254 541368 661672 721824 744381 992508 1082736 1323344 1488762 1985016 2165472 2646688 2977524 3970032 5955048 7940064 11910096 23820192