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231128280 = 233251973259
BaseRepresentation
bin11011100011010…
…11110011011000
3121002220112101200
431301223303120
5433132101110
634533514200
75504362245
oct1561536330
9532815350
10231128280
11109514109
12654a2960
1338b659c6
14229a65cc
15154576c0
hexdc6bcd8

231128280 has 96 divisors (see below), whose sum is σ = 755211600. Its totient is φ = 61302528.

The previous prime is 231128269. The next prime is 231128291. The reversal of 231128280 is 82821132.

231128280 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 (231128269) and next prime (231128291).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69291 + ... + 72549.

Almost surely, 2231128280 is an apocalyptic number.

231128280 is a gapful number since it is divisible by the number (20) 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 231128280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377605800).

231128280 is an abundant number, since it is smaller than the sum of its proper divisors (524083320).

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

231128280 is a wasteful number, since it uses less digits than its factorization.

231128280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 231128280 is about 15202.9036700230. The cubic root of 231128280 is about 613.6928015132.

The spelling of 231128280 in words is "two hundred thirty-one million, one hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1576 1773 1970 2364 2955 3259 3546 3940 4728 5910 6518 7092 7880 8865 9777 11820 13036 14184 16295 17730 19554 23640 26072 29331 32590 35460 39108 48885 58662 65180 70920 78216 97770 117324 130360 146655 195540 234648 293310 391080 586620 642023 1173240 1284046 1926069 2568092 3210115 3852138 5136184 5778207 6420230 7704276 9630345 11556414 12840460 15408552 19260690 23112828 25680920 28891035 38521380 46225656 57782070 77042760 115564140 231128280