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231254268 = 22374183809
BaseRepresentation
bin11011100100010…
…10100011111100
3121010010221012220
431302022203330
5433200114033
634540325340
75505425460
oct1562124374
9533127186
10231254268
1110959a833
1265543850
1338bab15b
14229da4a0
151547ebb3
hexdc8a8fc

231254268 has 96 divisors (see below), whose sum is σ = 640120320. Its totient is φ = 63605760.

The previous prime is 231254267. The next prime is 231254269. The reversal of 231254268 is 862452132.

231254268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231254267) and next prime (231254269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231254267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285448 + ... + 286256.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2231254268 is an apocalyptic number.

231254268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231254268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

231254268 is an abundant number, since it is smaller than the sum of its proper divisors (408866052).

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

231254268 is a wasteful number, since it uses less digits than its factorization.

231254268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 231254268 is about 15207.0466560736. The cubic root of 231254268 is about 613.8042892178.

The spelling of 231254268 in words is "two hundred thirty-one million, two hundred fifty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 83 84 123 164 166 246 249 287 332 492 498 574 581 809 861 996 1148 1162 1618 1722 1743 2324 2427 3236 3403 3444 3486 4854 5663 6806 6972 9708 10209 11326 13612 16989 20418 22652 23821 33169 33978 40836 47642 66338 67147 67956 71463 95284 99507 132676 134294 142926 199014 201441 232183 268588 285852 398028 402882 464366 470029 696549 805764 928732 940058 1393098 1410087 1880116 2753027 2786196 2820174 5506054 5640348 8259081 11012108 16518162 19271189 33036324 38542378 57813567 77084756 115627134 231254268