Search a number
-
+
231468192 = 2535172103
BaseRepresentation
bin11011100101111…
…10110010100000
3121010112210200000
431302332302200
5433223440232
634545100000
75510306244
oct1562766240
9533483600
10231468192
1110972652a
1265627600
1338c54637
1422a54424
15154c327c
hexdcbeca0

231468192 has 216 divisors, whose sum is σ = 732172896. Its totient is φ = 71912448.

The previous prime is 231468163. The next prime is 231468197. The reversal of 231468192 is 291864132.

231468192 is a `hidden beast` number, since 2 + 3 + 1 + 468 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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.

Its product of digits (20736) is a multiple of the sum of its prime factors (162).

It is not an unprimeable number, because it can be changed into a prime (231468197) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2247213 + ... + 2247315.

Almost surely, 2231468192 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 231468192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366086448).

231468192 is an abundant number, since it is smaller than the sum of its proper divisors (500704704).

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

231468192 is a wasteful number, since it uses less digits than its factorization.

231468192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 231468192 is about 15214.0787430590. The cubic root of 231468192 is about 613.9934994201.

The spelling of 231468192 in words is "two hundred thirty-one million, four hundred sixty-eight thousand, one hundred ninety-two".