Search a number
-
+
231144288 = 2532407753
BaseRepresentation
bin11011100011011…
…11101101100000
3121002221100100120
431301233231200
5433133104123
634534120240
75504460024
oct1561575540
9532840316
10231144288
11109525141
12654b0080
1338b7008b
14229ac384
151545c2e3
hexdc6fb60

231144288 has 24 divisors (see below), whose sum is σ = 606754008. Its totient is φ = 77048064.

The previous prime is 231144281. The next prime is 231144313. The reversal of 231144288 is 882441132.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231144281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1203781 + ... + 1203972.

It is an arithmetic number, because the mean of its divisors is an integer number (25281417).

Almost surely, 2231144288 is an apocalyptic number.

It is an amenable number.

231144288 is an abundant number, since it is smaller than the sum of its proper divisors (375609720).

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

231144288 is a wasteful number, since it uses less digits than its factorization.

231144288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407766 (or 2407758 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 231144288 is about 15203.4301392811. The cubic root of 231144288 is about 613.7069693562.

The spelling of 231144288 in words is "two hundred thirty-one million, one hundred forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2407753 4815506 7223259 9631012 14446518 19262024 28893036 38524048 57786072 77048096 115572144 231144288