Search a number
-
+
230320112232 = 23371780644297
BaseRepresentation
bin1101011010000000100…
…1100000001001101000
3211000111101220222022010
43112200021200021220
512233143422042412
6253450235155520
722432355436450
oct3264011401150
9730441828263
10230320112232
11897507762a1
12387798a5ba0
1318946b045a2
14b20cc56d60
155ed023133c
hex35a0260268

230320112232 has 64 divisors (see below), whose sum is σ = 696766734720. Its totient is φ = 61934819328.

The previous prime is 230320112227. The next prime is 230320112279. The reversal of 230320112232 is 232211023032.

It is a happy number.

230320112232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303201122322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 230320112199 and 230320112208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40319293 + ... + 40325004.

It is an arithmetic number, because the mean of its divisors is an integer number (10886980230).

Almost surely, 2230320112232 is an apocalyptic number.

It is an amenable number.

230320112232 is an abundant number, since it is smaller than the sum of its proper divisors (466446622488).

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

230320112232 is a wasteful number, since it uses less digits than its factorization.

230320112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80644330 (or 80644326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230320112232 its reverse (232211023032), we get a palindrome (462531135264).

The spelling of 230320112232 in words is "two hundred thirty billion, three hundred twenty million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 80644297 161288594 241932891 322577188 483865782 564510079 645154376 967731564 1129020158 1370953049 1693530237 1935463128 2258040316 2741906098 3387060474 4112859147 4516080632 5483812196 6774120948 8225718294 9596671343 10967624392 13548241896 16451436588 19193342686 28790014029 32902873176 38386685372 57580028058 76773370744 115160056116 230320112232