Search a number
-
+
212324200 = 235211103937
BaseRepresentation
bin11001010011111…
…00111101101000
3112210112012001021
430221330331220
5413323333300
633022502224
75155503664
oct1451747550
9483465037
10212324200
11a9940350
125b134974
1334cb0a2a
14202ad8a4
1513990d1a
hexca7cf68

212324200 has 96 divisors (see below), whose sum is σ = 544340160. Its totient is φ = 76377600.

The previous prime is 212324179. The next prime is 212324207. The reversal of 212324200 is 2423212.

It is not an unprimeable number, because it can be changed into a prime (212324207) 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, 226132 + ... + 227068.

It is an arithmetic number, because the mean of its divisors is an integer number (5670210).

Almost surely, 2212324200 is an apocalyptic number.

212324200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272170080).

212324200 is an abundant number, since it is smaller than the sum of its proper divisors (332015960).

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

212324200 is a wasteful number, since it uses less digits than its factorization.

212324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 212324200 is about 14571.3485992203. The cubic root of 212324200 is about 596.5769902922.

Adding to 212324200 its reverse (2423212), we get a palindrome (214747412).

The spelling of 212324200 in words is "two hundred twelve million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 103 110 200 206 220 275 412 440 515 550 824 937 1030 1100 1133 1874 2060 2200 2266 2575 3748 4120 4532 4685 5150 5665 7496 9064 9370 10300 10307 11330 18740 20600 20614 22660 23425 28325 37480 41228 45320 46850 51535 56650 82456 93700 96511 103070 113300 187400 193022 206140 226600 257675 386044 412280 482555 515350 772088 965110 1030700 1061621 1930220 2061400 2123242 2412775 3860440 4246484 4825550 5308105 8492968 9651100 10616210 19302200 21232420 26540525 42464840 53081050 106162100 212324200