Search a number
-
+
212533412 = 227131573719
BaseRepresentation
bin11001010101100…
…00000010100100
3112210220211000212
430222300002210
5413402032122
633031154552
75160334640
oct1452600244
9483824025
10212533412
11a9a73553
125b215a58
1335055020
1420325c20
15139d2ce2
hexcab00a4

212533412 has 48 divisors (see below), whose sum is σ = 460803840. Its totient is φ = 83521152.

The previous prime is 212533397. The next prime is 212533417. The reversal of 212533412 is 214335212.

It is not an unprimeable number, because it can be changed into a prime (212533417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55289 + ... + 59007.

It is an arithmetic number, because the mean of its divisors is an integer number (9600080).

Almost surely, 2212533412 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 212533412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230401920).

212533412 is an abundant number, since it is smaller than the sum of its proper divisors (248270428).

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

212533412 is a wasteful number, since it uses less digits than its factorization.

212533412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3898 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 212533412 is about 14578.5257142140. The cubic root of 212533412 is about 596.7728701367.

Adding to 212533412 its reverse (214335212), we get a palindrome (426868624).

The spelling of 212533412 in words is "two hundred twelve million, five hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 157 182 314 364 628 1099 2041 2198 3719 4082 4396 7438 8164 14287 14876 26033 28574 48347 52066 57148 96694 104132 193388 338429 583883 676858 1167766 1353716 2335532 4087181 7590479 8174362 15180958 16348724 30361916 53133353 106266706 212533412