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230995640 = 23541831697
BaseRepresentation
bin11011100010010…
…11011010111000
3121002122210110002
431301023122320
5433113330030
634531012132
75503300451
oct1561133270
9532583402
10230995640
11109433497
126543a048
1338b1a515
1422970128
151542d245
hexdc4b6b8

230995640 has 64 divisors (see below), whose sum is σ = 539148960. Its totient is φ = 89006080.

The previous prime is 230995631. The next prime is 230995657. The reversal of 230995640 is 46599032.

230995640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230995594 and 230995603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135272 + ... + 136968.

Almost surely, 2230995640 is an apocalyptic number.

230995640 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 230995640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269574480).

230995640 is an abundant number, since it is smaller than the sum of its proper divisors (308153320).

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

230995640 is a wasteful number, since it uses less digits than its factorization.

230995640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 230995640 is about 15198.5407194243. The cubic root of 230995640 is about 613.5753836165.

The spelling of 230995640 in words is "two hundred thirty million, nine hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 83 164 166 205 328 332 410 415 664 820 830 1640 1660 1697 3320 3394 3403 6788 6806 8485 13576 13612 16970 17015 27224 33940 34030 67880 68060 69577 136120 139154 140851 278308 281702 347885 556616 563404 695770 704255 1126808 1391540 1408510 2783080 2817020 5634040 5774891 11549782 23099564 28874455 46199128 57748910 115497820 230995640