Search a number
-
+
203134212 = 2232291791087
BaseRepresentation
bin11000001101110…
…01010100000100
3112011020021202100
430012321110010
5404000243322
632053512100
75014420011
oct1406712404
9464207670
10203134212
11a4733816
1258042630
1333113a78
141cd9a708
1512c77dac
hexc1b9504

203134212 has 72 divisors (see below), whose sum is σ = 534643200. Its totient is φ = 64951488.

The previous prime is 203134163. The next prime is 203134247. The reversal of 203134212 is 212431302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186333 + ... + 187419.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2203134212 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 203134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

203134212 is an abundant number, since it is smaller than the sum of its proper divisors (331508988).

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

203134212 is a wasteful number, since it uses less digits than its factorization.

203134212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 203134212 is about 14252.5159884141. The cubic root of 203134212 is about 587.8425581528.

Adding to 203134212 its reverse (212431302), we get a palindrome (415565514).

The spelling of 203134212 in words is "two hundred three million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 179 261 348 358 522 537 716 1044 1074 1087 1611 2148 2174 3222 3261 4348 5191 6444 6522 9783 10382 13044 15573 19566 20764 31146 31523 39132 46719 62292 63046 93438 94569 126092 186876 189138 194573 283707 378276 389146 567414 583719 778292 1134828 1167438 1751157 2334876 3502314 5642617 7004628 11285234 16927851 22570468 33855702 50783553 67711404 101567106 203134212