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230201420 = 225172937631
BaseRepresentation
bin11011011100010…
…01100001001100
3121001011102222112
431232021201030
5432412421140
634502003152
75463452111
oct1556114114
9531142875
10230201420
11108a40809
12651164b8
13388ccb77
1422804908
1515322c65
hexdb8984c

230201420 has 96 divisors (see below), whose sum is σ = 544682880. Its totient is φ = 81285120.

The previous prime is 230201417. The next prime is 230201431. The reversal of 230201420 is 24102032.

It is a junction number, because it is equal to n+sod(n) for n = 230201395 and 230201404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364505 + ... + 365135.

It is an arithmetic number, because the mean of its divisors is an integer number (5673780).

Almost surely, 2230201420 is an apocalyptic number.

230201420 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 230201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272341440).

230201420 is an abundant number, since it is smaller than the sum of its proper divisors (314481460).

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

230201420 is a wasteful number, since it uses less digits than its factorization.

230201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 230201420 is about 15172.3900556241. The cubic root of 230201420 is about 612.8713682908.

Adding to 230201420 its reverse (24102032), we get a palindrome (254303452).

The spelling of 230201420 in words is "two hundred thirty million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 37 58 68 74 85 116 145 148 170 185 290 340 370 493 580 629 631 740 986 1073 1258 1262 1972 2146 2465 2516 2524 3145 3155 4292 4930 5365 6290 6310 9860 10727 10730 12580 12620 18241 18299 21454 21460 23347 36482 36598 42908 46694 53635 72964 73196 91205 91495 93388 107270 116735 182410 182990 214540 233470 311083 364820 365980 396899 466940 622166 677063 793798 1244332 1354126 1555415 1587596 1984495 2708252 3110830 3385315 3968990 6221660 6770630 7937980 11510071 13541260 23020142 46040284 57550355 115100710 230201420