Search a number
-
+
233042112 = 263243972
BaseRepresentation
bin11011110001111…
…11000011000000
3121020111202200100
431320333003000
5434124321422
635042522400
75526553032
oct1570770300
9536452610
10233042112
1110a600a96
1266066400
1339385b54
1422d43c52
15156d47ac
hexde3f0c0

233042112 has 126 divisors (see below), whose sum is σ = 690626508. Its totient is φ = 75091968.

The previous prime is 233042111. The next prime is 233042119. The reversal of 233042112 is 211240332.

233042112 is a `hidden beast` number, since 233 + 0 + 421 + 12 = 666.

233042112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (233042111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2402448 + ... + 2402544.

Almost surely, 2233042112 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 233042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345313254).

233042112 is an abundant number, since it is smaller than the sum of its proper divisors (457584396).

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

233042112 is an equidigital number, since it uses as much as digits as its factorization.

233042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233042112 is about 15265.7168845751. The cubic root of 233042112 is about 615.3820192455.

Adding to 233042112 its reverse (211240332), we get a palindrome (444282444).

The spelling of 233042112 in words is "two hundred thirty-three million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 97 129 144 172 192 194 258 288 291 344 387 388 516 576 582 688 774 776 873 1032 1164 1376 1548 1552 1746 2064 2328 2752 3096 3104 3492 4128 4171 4656 6192 6208 6984 8256 8342 9312 9409 12384 12513 13968 16684 18624 18818 24768 25026 27936 28227 33368 37539 37636 50052 55872 56454 66736 75078 75272 84681 100104 112908 133472 150156 150544 169362 200208 225816 266944 300312 301088 338724 400416 404587 451632 600624 602176 677448 800832 809174 903264 1201248 1213761 1354896 1618348 1806528 2402496 2427522 2709792 3236696 3641283 4855044 5419584 6473392 7282566 9710088 12946784 14565132 19420176 25893568 29130264 38840352 58260528 77680704 116521056 233042112