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115825230 = 2325431732
BaseRepresentation
bin1101110011101…
…01101001001110
322001221112100100
412321311221032
5214122401410
615254311530
72604332613
oct671655116
9261845310
10115825230
115a420234
12329585a6
131acc4951
141155050a
15a27d8c0
hex6e75a4e

115825230 has 72 divisors (see below), whose sum is σ = 309940488. Its totient is φ = 29994048.

The previous prime is 115825219. The next prime is 115825243. The reversal of 115825230 is 32528511.

It is a happy number.

115825230 is a `hidden beast` number, since 1 + 1 + 582 + 52 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115825194 and 115825203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 669424 + ... + 669596.

It is an arithmetic number, because the mean of its divisors is an integer number (4304729).

Almost surely, 2115825230 is an apocalyptic number.

115825230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115825230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154970244).

115825230 is an abundant number, since it is smaller than the sum of its proper divisors (194115258).

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

115825230 is a wasteful number, since it uses less digits than its factorization.

115825230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115825230 is about 10762.2130623771. The cubic root of 115825230 is about 487.4548439437.

The spelling of 115825230 in words is "one hundred fifteen million, eight hundred twenty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 173 215 258 346 387 430 519 645 774 865 1038 1290 1557 1730 1935 2595 3114 3870 5190 7439 7785 14878 15570 22317 29929 37195 44634 59858 66951 74390 89787 111585 133902 149645 179574 223170 269361 299290 334755 448935 538722 669510 897870 1286947 1346805 2573894 2693610 3860841 6434735 7721682 11582523 12869470 19304205 23165046 38608410 57912615 115825230