Search a number
-
+
204010212 = 223722310891
BaseRepresentation
bin11000010100011…
…11001011100100
3112012212210101210
430022033023210
5404211311322
632124351420
75025025650
oct1412171344
9465783353
10204010212
11a518198a
12583a5570
133335c703
141d147a60
1512d9c70c
hexc28f2e4

204010212 has 48 divisors (see below), whose sum is σ = 546516992. Its totient is φ = 58021920.

The previous prime is 204010181. The next prime is 204010229. The reversal of 204010212 is 212010402.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13287 + ... + 24177.

Almost surely, 2204010212 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 204010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273258496).

204010212 is an abundant number, since it is smaller than the sum of its proper divisors (342506780).

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

204010212 is a wasteful number, since it uses less digits than its factorization.

204010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 204010212 is about 14283.2143441174. The cubic root of 204010212 is about 588.6863543426.

Adding to 204010212 its reverse (212010402), we get a palindrome (416020614).

The spelling of 204010212 in words is "two hundred four million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 223 446 669 892 1338 1561 2676 3122 4683 6244 9366 10891 18732 21782 32673 43564 65346 76237 130692 152474 228711 304948 457422 914844 2428693 4857386 7286079 9714772 14572158 17000851 29144316 34001702 51002553 68003404 102005106 204010212