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201146244 = 2231317731039
BaseRepresentation
bin10111111110100…
…11111110000100
3112000111021202220
423333103332010
5402443134434
631543132340
74661500125
oct1377237604
9460437686
10201146244
11a35a6172
12574440b0
1332898c60
141ca0004c
15129d3d49
hexbfd3f84

201146244 has 96 divisors (see below), whose sum is σ = 543029760. Its totient is φ = 57397248.

The previous prime is 201146237. The next prime is 201146249. The reversal of 201146244 is 442641102.

It is a happy number.

201146244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2011462443 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (201146249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193077 + ... + 194115.

It is an arithmetic number, because the mean of its divisors is an integer number (5656560).

Almost surely, 2201146244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201146244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271514880).

201146244 is an abundant number, since it is smaller than the sum of its proper divisors (341883516).

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

201146244 is a wasteful number, since it uses less digits than its factorization.

201146244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 201146244 is about 14182.6035691618. The cubic root of 201146244 is about 585.9186326782.

Adding to 201146244 its reverse (442641102), we get a palindrome (643787346).

The spelling of 201146244 in words is "two hundred one million, one hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 73 78 102 146 156 204 219 221 292 438 442 663 876 884 949 1039 1241 1326 1898 2078 2482 2652 2847 3117 3723 3796 4156 4964 5694 6234 7446 11388 12468 13507 14892 16133 17663 27014 32266 35326 40521 48399 52989 54028 64532 70652 75847 81042 96798 105978 151694 162084 193596 211956 227541 229619 303388 455082 459238 688857 910164 918476 986011 1289399 1377714 1972022 2578798 2755428 2958033 3868197 3944044 5157596 5916066 7736394 11832132 15472788 16762187 33524374 50286561 67048748 100573122 201146244