Search a number
-
+
212313332 = 227111793851
BaseRepresentation
bin11001010011110…
…10010011110100
3112210111122010202
430221322103310
5413323011312
633022340032
75155430210
oct1451722364
9483448122
10212313332
11a9933170
125b12a618
1334ca8aba
14202a9940
151398c9c2
hexca7a4f4

212313332 has 48 divisors (see below), whose sum is σ = 465937920. Its totient is φ = 82236000.

The previous prime is 212313331. The next prime is 212313337. The reversal of 212313332 is 233313212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313331) 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, 53207 + ... + 57057.

It is an arithmetic number, because the mean of its divisors is an integer number (9707040).

Almost surely, 2212313332 is an apocalyptic number.

212313332 is a gapful number since it is divisible by the number (22) 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 212313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232968960).

212313332 is an abundant number, since it is smaller than the sum of its proper divisors (253624588).

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

212313332 is a wasteful number, since it uses less digits than its factorization.

212313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4050 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 212313332 is about 14570.9756708328. The cubic root of 212313332 is about 596.5668113467.

Adding to 212313332 its reverse (233313212), we get a palindrome (445626544).

The spelling of 212313332 in words is "two hundred twelve million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 179 308 358 716 1253 1969 2506 3851 3938 5012 7702 7876 13783 15404 26957 27566 42361 53914 55132 84722 107828 169444 296527 593054 689329 1186108 1378658 2757316 4825303 7582619 9650606 15165238 19301212 30330476 53078333 106156666 212313332