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230231360 = 2651921993
BaseRepresentation
bin11011011100100…
…00110101000000
3121001012222001102
431232100311000
5432414400420
634502353532
75463635312
oct1556206500
9531188042
10230231360
11108a61257
126512b8a8
1338910698
14228117b2
151532ba75
hexdb90d40

230231360 has 84 divisors (see below), whose sum is σ = 578902068. Its totient is φ = 87201792.

The previous prime is 230231347. The next prime is 230231369. The reversal of 230231360 is 63132032.

230231360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126517504 + 103713856 = 11248^2 + 10184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230231369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114524 + ... + 116516.

Almost surely, 2230231360 is an apocalyptic number.

230231360 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 230231360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289451034).

230231360 is an abundant number, since it is smaller than the sum of its proper divisors (348670708).

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

230231360 is a wasteful number, since it uses less digits than its factorization.

230231360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 230231360 is about 15173.3766841794. The cubic root of 230231360 is about 612.8979371587.

Adding to 230231360 its reverse (63132032), we get a palindrome (293363392).

The spelling of 230231360 in words is "two hundred thirty million, two hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 361 380 608 722 760 1216 1444 1520 1805 1993 2888 3040 3610 3986 5776 6080 7220 7972 9965 11552 14440 15944 19930 23104 28880 31888 37867 39860 57760 63776 75734 79720 115520 127552 151468 159440 189335 302936 318880 378670 605872 637760 719473 757340 1211744 1438946 1514680 2423488 2877892 3029360 3597365 5755784 6058720 7194730 11511568 12117440 14389460 23023136 28778920 46046272 57557840 115115680 230231360