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23133936 = 2437312221
BaseRepresentation
bin101100000111…
…1111011110000
31121112022210110
41120033323300
521410241221
62143501320
7400430610
oct130177360
947468713
1023133936
1112070961
1278b7840
134a3ca27
143102a40
15206e776
hex160fef0

23133936 has 80 divisors (see below), whose sum is σ = 70535168. Its totient is φ = 6393600.

The previous prime is 23133899. The next prime is 23133937. The reversal of 23133936 is 63933132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133937) 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, 9306 + ... + 11526.

Almost surely, 223133936 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 23133936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35267584).

23133936 is an abundant number, since it is smaller than the sum of its proper divisors (47401232).

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

23133936 is a wasteful number, since it uses less digits than its factorization.

23133936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2264 counting only the distinct ones).

The product of its digits is 8748, while the sum is 30.

The square root of 23133936 is about 4809.7750467148. The cubic root of 23133936 is about 284.9376533365.

The spelling of 23133936 in words is "twenty-three million, one hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2221 2604 3472 4442 5208 6663 8884 10416 13326 15547 17768 26652 31094 35536 46641 53304 62188 68851 93282 106608 124376 137702 186564 206553 248752 275404 373128 413106 481957 550808 746256 826212 963914 1101616 1445871 1652424 1927828 2891742 3304848 3855656 5783484 7711312 11566968 23133936