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230201460 = 223351093911
BaseRepresentation
bin11011011100010…
…01100001110100
3121001011110001000
431232021201310
5432412421320
634502003300
75463452166
oct1556114164
9531143030
10230201460
11108a40845
1265116530
13388ccba8
1422804936
1515322c90
hexdb89874

230201460 has 96 divisors (see below), whose sum is σ = 722937600. Its totient is φ = 60808320.

The previous prime is 230201459. The next prime is 230201479. The reversal of 230201460 is 64102032.

It is a happy number.

230201460 is a `hidden beast` number, since 2 + 3 + 0 + 201 + 460 = 666.

230201460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2302014602 = 105985424372263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 56905 + ... + 60815.

It is an arithmetic number, because the mean of its divisors is an integer number (7530600).

Almost surely, 2230201460 is an apocalyptic number.

230201460 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 230201460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361468800).

230201460 is an abundant number, since it is smaller than the sum of its proper divisors (492736140).

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

230201460 is a wasteful number, since it uses less digits than its factorization.

230201460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230201460 is about 15172.3913738079. The cubic root of 230201460 is about 612.8714037885.

Adding to 230201460 its reverse (64102032), we get a palindrome (294303492).

The spelling of 230201460 in words is "two hundred thirty million, two hundred one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 981 1090 1308 1635 1962 2180 2943 3270 3911 3924 4905 5886 6540 7822 9810 11733 11772 14715 15644 19555 19620 23466 29430 35199 39110 46932 58665 58860 70398 78220 105597 117330 140796 175995 211194 234660 351990 422388 426299 527985 703980 852598 1055970 1278897 1705196 2111940 2131495 2557794 3836691 4262990 5115588 6394485 7673382 8525980 11510073 12788970 15346764 19183455 23020146 25577940 38366910 46040292 57550365 76733820 115100730 230201460