Search a number
-
+
231002112 = 2123111709
BaseRepresentation
bin11011100010011…
…01000000000000
3121002200010022210
431301031000000
5433114031422
634531102120
75503325355
oct1561150000
9532603283
10231002112
11109438340
1265441940
1338b20453
142297262c
151543010c
hexdc4d000

231002112 has 104 divisors (see below), whose sum is σ = 672317280. Its totient is φ = 69959680.

The previous prime is 231002071. The next prime is 231002113. The reversal of 231002112 is 211200132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134314 + ... + 136022.

Almost surely, 2231002112 is an apocalyptic number.

231002112 is a gapful number since it is divisible by the number (22) 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 231002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336158640).

231002112 is an abundant number, since it is smaller than the sum of its proper divisors (441315168).

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

231002112 is a wasteful number, since it uses less digits than its factorization.

231002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 231002112 is about 15198.7536331108. The cubic root of 231002112 is about 613.5811139163.

Adding to 231002112 its reverse (211200132), we get a palindrome (442202244).

The spelling of 231002112 in words is "two hundred thirty-one million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 1709 2048 2112 2816 3072 3418 4096 4224 5127 5632 6144 6836 8448 10254 11264 12288 13672 16896 18799 20508 22528 27344 33792 37598 41016 45056 54688 56397 67584 75196 82032 109376 112794 135168 150392 164064 218752 225588 300784 328128 437504 451176 601568 656256 875008 902352 1203136 1312512 1750016 1804704 2406272 2625024 3500032 3609408 4812544 5250048 7000064 7218816 9625088 10500096 14437632 19250176 21000192 28875264 38500352 57750528 77000704 115501056 231002112