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23112880 = 2457149277
BaseRepresentation
bin101100000101…
…0110010110000
31121111020220121
41120022302300
521404103010
62143220024
7400312330
oct130126260
947436817
1023112880
111205705a
1278a7614
134a3327b
1430d90c0
1520683da
hex160acb0

23112880 has 80 divisors (see below), whose sum is σ = 62049600. Its totient is φ = 7842816.

The previous prime is 23112863. The next prime is 23112883. The reversal of 23112880 is 8821132.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23112883) 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, 83302 + ... + 83578.

It is an arithmetic number, because the mean of its divisors is an integer number (775620).

Almost surely, 223112880 is an apocalyptic number.

23112880 is a gapful number since it is divisible by the number (20) 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 23112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31024800).

23112880 is an abundant number, since it is smaller than the sum of its proper divisors (38936720).

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

23112880 is a wasteful number, since it uses less digits than its factorization.

23112880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 23112880 is about 4807.5856726636. The cubic root of 23112880 is about 284.8511790994.

The spelling of 23112880 in words is "twenty-three million, one hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 149 277 280 298 554 560 596 745 1043 1108 1192 1385 1490 1939 2086 2216 2384 2770 2980 3878 4172 4432 5215 5540 5960 7756 8344 9695 10430 11080 11920 15512 16688 19390 20860 22160 31024 38780 41273 41720 77560 82546 83440 155120 165092 206365 288911 330184 412730 577822 660368 825460 1155644 1444555 1650920 2311288 2889110 3301840 4622576 5778220 11556440 23112880