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230333112 = 23334324799
BaseRepresentation
bin11011011101010…
…01101010111000
3121001102010122000
431232221222320
5432431124422
634504501000
75464541052
oct1556515270
9531363560
10230333112
11109020749
126517a760
1338947aa9
142283a8d2
151534bcac
hexdba9ab8

230333112 has 64 divisors (see below), whose sum is σ = 654720000. Its totient is φ = 74989152.

The previous prime is 230333101. The next prime is 230333113. The reversal of 230333112 is 211333032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230333113) 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, 3112 + ... + 21687.

It is an arithmetic number, because the mean of its divisors is an integer number (10230000).

Almost surely, 2230333112 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 230333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327360000).

230333112 is an abundant number, since it is smaller than the sum of its proper divisors (424386888).

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

230333112 is a wasteful number, since it uses less digits than its factorization.

230333112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24857 (or 24847 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 230333112 is about 15176.7292919127. The cubic root of 230333112 is about 612.9882150511.

Adding to 230333112 its reverse (211333032), we get a palindrome (441666144).

The spelling of 230333112 in words is "two hundred thirty million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 2322 3096 4644 9288 24799 49598 74397 99196 148794 198392 223191 297588 446382 595176 669573 892764 1066357 1339146 1785528 2132714 2678292 3199071 4265428 5356584 6398142 8530856 9597213 12796284 19194426 25592568 28791639 38388852 57583278 76777704 115166556 230333112