Search a number
-
+
2230312212232 = 2313231697549443
BaseRepresentation
bin100000011101001000111…
…101111001011100001000
321220012211021220110111121
4200131020331321130020
5243020134411242412
64424331415005024
7320064134002456
oct40351075713410
97805737813447
102230312212232
1178a963110755
123002bb069774
13132418830bb0
1479d3a64b9d6
153d03769d107
hex20748f79708

2230312212232 has 64 divisors (see below), whose sum is σ = 4702097796480. Its totient is φ = 984037435392.

The previous prime is 2230312212229. The next prime is 2230312212239. The reversal of 2230312212232 is 2322122130322.

It is a junction number, because it is equal to n+sod(n) for n = 2230312212197 and 2230312212206.

It is not an unprimeable number, because it can be changed into a prime (2230312212239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3784503 + ... + 4333945.

It is an arithmetic number, because the mean of its divisors is an integer number (73470278070).

Almost surely, 22230312212232 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 2230312212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351048898240).

2230312212232 is an abundant number, since it is smaller than the sum of its proper divisors (2471785584248).

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

2230312212232 is a wasteful number, since it uses less digits than its factorization.

2230312212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551182 (or 551178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2230312212232 its reverse (2322122130322), we get a palindrome (4552434342554).

The spelling of 2230312212232 in words is "two trillion, two hundred thirty billion, three hundred twelve million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 598 1196 1697 2392 3394 6788 13576 22061 39031 44122 78062 88244 156124 176488 312248 507403 549443 1014806 1098886 2029612 2197772 4059224 4395544 7142759 12637189 14285518 25274378 28571036 50548756 57142072 101097512 164283457 328566914 657133828 932404771 1314267656 1864809542 3729619084 7459238168 12121262023 21445309733 24242524046 42890619466 48485048092 85781238932 96970096184 171562477864 278789026529 557578053058 1115156106116 2230312212232