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23891112 = 2334723229
BaseRepresentation
bin101101100100…
…0110010101000
31122221210110000
41123020302220
522104003422
62212023000
7410033250
oct133106250
948853400
1023891112
1112538823
128001a60
134c4656b
14325c960
15216dcac
hex16c8ca8

23891112 has 160 divisors (see below), whose sum is σ = 80150400. Its totient is φ = 6500736.

The previous prime is 23891051. The next prime is 23891117. The reversal of 23891112 is 21119832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23891117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104214 + ... + 104442.

It is an arithmetic number, because the mean of its divisors is an integer number (500940).

Almost surely, 223891112 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 23891112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075200).

23891112 is an abundant number, since it is smaller than the sum of its proper divisors (56259288).

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

23891112 is a wasteful number, since it uses less digits than its factorization.

23891112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 23891112 is about 4887.8535166267. The cubic root of 23891112 is about 288.0130202447.

The spelling of 23891112 in words is "twenty-three million, eight hundred ninety-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 229 252 276 322 324 378 414 458 483 504 552 567 621 644 648 687 756 828 916 966 1134 1242 1288 1374 1449 1512 1603 1656 1832 1863 1932 2061 2268 2484 2748 2898 3206 3726 3864 4122 4347 4536 4809 4968 5267 5496 5796 6183 6412 7452 8244 8694 9618 10534 11592 12366 12824 13041 14427 14904 15801 16488 17388 18549 19236 21068 24732 26082 28854 31602 34776 36869 37098 38472 42136 43281 47403 49464 52164 57708 63204 73738 74196 86562 94806 104328 110607 115416 126408 129843 142209 147476 148392 173124 189612 221214 259686 284418 294952 331821 346248 379224 426627 442428 519372 568836 663642 853254 884856 995463 1038744 1137672 1327284 1706508 1990926 2654568 2986389 3413016 3981852 5972778 7963704 11945556 23891112