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230131740 = 223547791033
BaseRepresentation
bin11011011011110…
…00100000011100
3121001000220101210
431231320200130
5432403203430
634500304420
75463042006
oct1555704034
9531026353
10230131740
111089a3423
12650a2110
13388a7237
14227c7376
151530c2b0
hexdb7881c

230131740 has 96 divisors (see below), whose sum is σ = 667054080. Its totient is φ = 59245056.

The previous prime is 230131739. The next prime is 230131753. The reversal of 230131740 is 47131032.

230131740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222264 + ... + 223296.

It is an arithmetic number, because the mean of its divisors is an integer number (6948480).

Almost surely, 2230131740 is an apocalyptic number.

230131740 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 230131740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333527040).

230131740 is an abundant number, since it is smaller than the sum of its proper divisors (436922340).

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

230131740 is a wasteful number, since it uses less digits than its factorization.

230131740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 230131740 is about 15170.0936055121. The cubic root of 230131740 is about 612.8095250777.

Adding to 230131740 its reverse (47131032), we get a palindrome (277262772).

It can be divided in two parts, 23013 and 1740, that added together give a triangular number (24753 = T222).

The spelling of 230131740 in words is "two hundred thirty million, one hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 79 94 141 158 188 235 237 282 316 395 470 474 564 705 790 940 948 1033 1185 1410 1580 2066 2370 2820 3099 3713 4132 4740 5165 6198 7426 10330 11139 12396 14852 15495 18565 20660 22278 30990 37130 44556 48551 55695 61980 74260 81607 97102 111390 145653 163214 194204 222780 242755 244821 291306 326428 408035 485510 489642 582612 728265 816070 971020 979284 1224105 1456530 1632140 2448210 2913060 3835529 4896420 7671058 11506587 15342116 19177645 23013174 38355290 46026348 57532935 76710580 115065870 230131740