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231123330 = 232517295209
BaseRepresentation
bin11011100011010…
…10100110000010
3121002220021121100
431301222212002
5433131421310
634533435230
75504341644
oct1561524602
9532807540
10231123330
11109510419
126549bb16
1338b63689
14229a4894
1515455ec0
hexdc6a982

231123330 has 96 divisors (see below), whose sum is σ = 658335600. Its totient is φ = 55996416.

The previous prime is 231123271. The next prime is 231123337. The reversal of 231123330 is 33321132.

231123330 is a `hidden beast` number, since 2 + 311 + 23 + 330 = 666.

231123330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 200420649 + 30702681 = 14157^2 + 5541^2 .

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 (231123337) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 41766 + ... + 46974.

Almost surely, 2231123330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329167800).

231123330 is an abundant number, since it is smaller than the sum of its proper divisors (427212270).

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

231123330 is a wasteful number, since it uses less digits than its factorization.

231123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5265 counting only the distinct ones).

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

The square root of 231123330 is about 15202.7408713034. The cubic root of 231123330 is about 613.6884203948.

Adding to 231123330 its reverse (33321132), we get a palindrome (264444462).

The spelling of 231123330 in words is "two hundred thirty-one million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 145 153 170 174 255 261 290 306 435 493 510 522 765 870 986 1305 1479 1530 2465 2610 2958 4437 4930 5209 7395 8874 10418 14790 15627 22185 26045 31254 44370 46881 52090 78135 88553 93762 151061 156270 177106 234405 265659 302122 442765 453183 468810 531318 755305 796977 885530 906366 1328295 1359549 1510610 1593954 2265915 2568037 2656590 2719098 3984885 4531830 5136074 6797745 7704111 7969770 12840185 13595490 15408222 23112333 25680370 38520555 46224666 77041110 115561665 231123330