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231314244 = 223712721683
BaseRepresentation
bin11011100100110…
…01001101000100
3121010020222111020
431302121031010
5433204023434
634541511140
75506065360
oct1562311504
9533228436
10231314244
111096308a7
12655724b0
1338bcc545
1422a142a0
1515492849
hexdc99344

231314244 has 48 divisors (see below), whose sum is σ = 621723648. Its totient is φ = 65566368.

The previous prime is 231314233. The next prime is 231314249. The reversal of 231314244 is 442413132.

231314244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (231314249) 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 15 ways as a sum of consecutive naturals, for example, 174 + ... + 21509.

It is an arithmetic number, because the mean of its divisors is an integer number (12952576).

Almost surely, 2231314244 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 231314244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310861824).

231314244 is an abundant number, since it is smaller than the sum of its proper divisors (390409404).

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

231314244 is a wasteful number, since it uses less digits than its factorization.

231314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21824 (or 21822 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 231314244 is about 15209.0185087664. The cubic root of 231314244 is about 613.8573481938.

Adding to 231314244 its reverse (442413132), we get a palindrome (673727376).

The spelling of 231314244 in words is "two hundred thirty-one million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 5334 10668 21683 43366 65049 86732 130098 151781 260196 303562 455343 607124 910686 1821372 2753741 5507482 8261223 11014964 16522446 19276187 33044892 38552374 57828561 77104748 115657122 231314244