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23147856 = 243453337
BaseRepresentation
bin101100001001…
…1010101010000
31121120000220000
41120103111100
521411212411
62144050000
7400516314
oct130232520
947500800
1023147856
1112080366
127903900
134a46174
143107b44
152073956
hex1613550

23147856 has 100 divisors (see below), whose sum is σ = 68463252. Its totient is φ = 7547904.

The previous prime is 23147849. The next prime is 23147857. The reversal of 23147856 is 65874132.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 11696400 = 3384^2 + 3420^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23147856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23147857) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68520 + ... + 68856.

Almost surely, 223147856 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 23147856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34231626).

23147856 is an abundant number, since it is smaller than the sum of its proper divisors (45315396).

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

23147856 is a wasteful number, since it uses less digits than its factorization.

23147856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 23147856 is about 4811.2218822249. The cubic root of 23147856 is about 284.9947921486.

The spelling of 23147856 in words is "twenty-three million, one hundred forty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 337 424 432 477 636 648 674 848 954 1011 1272 1296 1348 1431 1908 2022 2544 2696 2862 3033 3816 4044 4293 5392 5724 6066 7632 8088 8586 9099 11448 12132 16176 17172 17861 18198 22896 24264 27297 34344 35722 36396 48528 53583 54594 68688 71444 72792 107166 109188 142888 145584 160749 214332 218376 285776 321498 428664 436752 482247 642996 857328 964494 1285992 1446741 1928988 2571984 2893482 3857976 5786964 7715952 11573928 23147856