Search a number
-
+
212201130 = 23543271607
BaseRepresentation
bin11001010010111…
…10111010101010
3112210021221020010
430221132322222
5413310414010
633020112350
75154452121
oct1451367252
9483257203
10212201130
11a9866939
125b0956b6
1334c699cb
142027aab8
1513969620
hexca5eeaa

212201130 has 64 divisors (see below), whose sum is σ = 523911168. Its totient is φ = 54976320.

The previous prime is 212201071. The next prime is 212201137. The reversal of 212201130 is 31102212.

212201130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212201137) 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, 349287 + ... + 349893.

It is an arithmetic number, because the mean of its divisors is an integer number (8186112).

Almost surely, 2212201130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261955584).

212201130 is an abundant number, since it is smaller than the sum of its proper divisors (311710038).

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

212201130 is a wasteful number, since it uses less digits than its factorization.

212201130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 212201130 is about 14567.1249737208. The cubic root of 212201130 is about 596.4617028835.

Adding to 212201130 its reverse (31102212), we get a palindrome (243303342).

The spelling of 212201130 in words is "two hundred twelve million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 271 430 542 607 645 813 1214 1290 1355 1626 1821 2710 3035 3642 4065 6070 8130 9105 11653 18210 23306 26101 34959 52202 58265 69918 78303 116530 130505 156606 164497 174795 261010 328994 349590 391515 493491 783030 822485 986982 1644970 2467455 4934910 7073371 14146742 21220113 35366855 42440226 70733710 106100565 212201130