Search a number
-
+
231231232296 = 23327940652467
BaseRepresentation
bin1101011101011001110…
…1001001100100101000
3211002211220100200001200
43113112131021210220
512242030143413141
6254120503444200
722464061021251
oct3272635114450
9732756320050
10231231232296
118a079003289
1238992a56660
1318a607c259c
14b297c69b28
156035207ab6
hex35d6749928

231231232296 has 48 divisors (see below), whose sum is σ = 634178500800. Its totient is φ = 76101416352.

The previous prime is 231231232261. The next prime is 231231232307. The reversal of 231231232296 is 692232132132.

231231232296 is a `hidden beast` number, since 2 + 3 + 12 + 312 + 322 + 9 + 6 = 666.

231231232296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2312312322963 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 231231232296.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20320546 + ... + 20331921.

It is an arithmetic number, because the mean of its divisors is an integer number (13212052100).

Almost surely, 2231231232296 is an apocalyptic number.

It is an amenable number.

231231232296 is an abundant number, since it is smaller than the sum of its proper divisors (402947268504).

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

231231232296 is a wasteful number, since it uses less digits than its factorization.

231231232296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40652558 (or 40652551 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 231231232296 in words is "two hundred thirty-one billion, two hundred thirty-one million, two hundred thirty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 5688 40652467 81304934 121957401 162609868 243914802 325219736 365872203 487829604 731744406 975659208 1463488812 2926977624 3211544893 6423089786 9634634679 12846179572 19269269358 25692359144 28903904037 38538538716 57807808074 77077077432 115615616148 231231232296