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201361230 = 232571372333
BaseRepresentation
bin11000000000010…
…00011101001110
3112000220012200100
430000020131032
5403022024410
631551511530
74663353660
oct1400103516
9460805610
10201361230
11a3732744
12575285a6
1332942a75
141ca58530
1512a278c0
hexc00874e

201361230 has 96 divisors (see below), whose sum is σ = 602956224. Its totient is φ = 45669888.

The previous prime is 201361187. The next prime is 201361231. The reversal of 201361230 is 32163102.

201361230 is a `hidden beast` number, since 20 + 1 + 3 + 612 + 30 = 666.

It is a super-2 number, since 2×2013612302 = 81092689894225800, 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 not an unprimeable number, because it can be changed into a prime (201361231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85144 + ... + 87476.

It is an arithmetic number, because the mean of its divisors is an integer number (6280794).

Almost surely, 2201361230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201361230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301478112).

201361230 is an abundant number, since it is smaller than the sum of its proper divisors (401594994).

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

201361230 is a wasteful number, since it uses less digits than its factorization.

201361230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 201361230 is about 14190.1807599481. The cubic root of 201361230 is about 586.1273025000.

The spelling of 201361230 in words is "two hundred one million, three hundred sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 137 210 274 315 411 630 685 822 959 1233 1370 1918 2055 2333 2466 2877 4110 4666 4795 5754 6165 6999 8631 9590 11665 12330 13998 14385 16331 17262 20997 23330 28770 32662 34995 41994 43155 48993 69990 81655 86310 97986 104985 146979 163310 209970 244965 293958 319621 489930 639242 734895 958863 1469790 1598105 1917726 2237347 2876589 3196210 4474694 4794315 5753178 6712041 9588630 11186735 13424082 14382945 20136123 22373470 28765890 33560205 40272246 67120410 100680615 201361230