Search a number
-
+
201222860 = 2252331103137
BaseRepresentation
bin10111111111001…
…10101011001100
3112000122011212112
423333212223030
5403003112420
631544523152
74662236366
oct1377465314
9460564775
10201222860
11a3648793
12574804b8
13328c4aa7
141ca1dd36
15129eb8c5
hexbfe6acc

201222860 has 96 divisors (see below), whose sum is σ = 462938112. Its totient is φ = 73244160.

The previous prime is 201222841. The next prime is 201222869. The reversal of 201222860 is 68222102.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (201222869) 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, 1468712 + ... + 1468848.

It is an arithmetic number, because the mean of its divisors is an integer number (4822272).

Almost surely, 2201222860 is an apocalyptic number.

201222860 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 201222860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231469056).

201222860 is an abundant number, since it is smaller than the sum of its proper divisors (261715252).

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

201222860 is a wasteful number, since it uses less digits than its factorization.

201222860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 201222860 is about 14185.3043675488. The cubic root of 201222860 is about 585.9930147839.

Adding to 201222860 its reverse (68222102), we get a palindrome (269444962).

The spelling of 201222860 in words is "two hundred one million, two hundred twenty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 103 115 124 137 155 206 230 274 310 412 460 515 548 620 685 713 1030 1370 1426 2060 2369 2740 2852 3151 3193 3565 4247 4738 6302 6386 7130 8494 9476 11845 12604 12772 14111 14260 15755 15965 16988 21235 23690 28222 31510 31930 42470 47380 56444 63020 63860 70555 73439 84940 97681 141110 146878 195362 282220 293756 324553 367195 390724 437441 488405 649106 734390 874882 976810 1298212 1468780 1622765 1749764 1953620 2187205 3245530 4374410 6491060 8748820 10061143 20122286 40244572 50305715 100611430 201222860