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23117312 = 29163277
BaseRepresentation
bin101100000101…
…1111000000000
31121111110222202
41120023320000
521404223222
62143252332
7400331261
oct130137000
947443882
1023117312
111205a419
1278aa0a8
134a352aa
1430da968
152069892
hex160be00

23117312 has 40 divisors (see below), whose sum is σ = 46640616. Its totient is φ = 11446272.

The previous prime is 23117293. The next prime is 23117327. The reversal of 23117312 is 21371132.

It is a super-2 number, since 2×231173122 = 1068820228210688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83318 + ... + 83594.

Almost surely, 223117312 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 23117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23320308).

23117312 is an abundant number, since it is smaller than the sum of its proper divisors (23523304).

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

23117312 is an equidigital number, since it uses as much as digits as its factorization.

23117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 23117312 is about 4808.0465887926. The cubic root of 23117312 is about 284.8693851060.

Adding to 23117312 its reverse (21371132), we get a palindrome (44488444).

The spelling of 23117312 in words is "twenty-three million, one hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 163 256 277 326 512 554 652 1108 1304 2216 2608 4432 5216 8864 10432 17728 20864 35456 41728 45151 70912 83456 90302 141824 180604 361208 722416 1444832 2889664 5779328 11558656 23117312