Search a number
-
+
200202132 = 223132175807
BaseRepresentation
bin10111110111011…
…01011110010100
3111221201022200210
423323231132110
5402222432012
631511005420
74650455454
oct1373553624
9457638623
10200202132
11a3010909
1257069870
1332628300
141c835d64
151289923c
hexbeed794

200202132 has 72 divisors (see below), whose sum is σ = 535683456. Its totient is φ = 57967104.

The previous prime is 200202127. The next prime is 200202133. The reversal of 200202132 is 231202002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200202133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31573 + ... + 37379.

It is an arithmetic number, because the mean of its divisors is an integer number (7440048).

Almost surely, 2200202132 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 200202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267841728).

200202132 is an abundant number, since it is smaller than the sum of its proper divisors (335481324).

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

200202132 is a wasteful number, since it uses less digits than its factorization.

200202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200202132 is about 14149.2802643809. The cubic root of 200202132 is about 585.0004938267. Note that the first 3 decimals are identical.

Adding to 200202132 its reverse (231202002), we get a palindrome (431404134).

The spelling of 200202132 in words is "two hundred million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 663 676 884 1014 1326 2028 2652 2873 5746 5807 8619 11492 11614 17238 17421 23228 34476 34842 69684 75491 98719 150982 197438 226473 296157 301964 394876 452946 592314 905892 981383 1184628 1283347 1962766 2566694 2944149 3850041 3925532 5133388 5888298 7700082 11776596 15400164 16683511 33367022 50050533 66734044 100101066 200202132