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212313336 = 23353832011
BaseRepresentation
bin11001010011110…
…10010011111000
3112210111122010220
430221322103320
5413323011321
633022340040
75155430214
oct1451722370
9483448126
10212313336
11a9933174
125b12a620
1334ca8ac1
14202a9944
151398c9c6
hexca7a4f8

212313336 has 64 divisors (see below), whose sum is σ = 547585920. Its totient is φ = 68565120.

The previous prime is 212313331. The next prime is 212313337. The reversal of 212313336 is 633313212.

It is a happy number.

It is a super-3 number, since 3×2123133363 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 104571 + ... + 106581.

It is an arithmetic number, because the mean of its divisors is an integer number (8556030).

Almost surely, 2212313336 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 212313336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273792960).

212313336 is an abundant number, since it is smaller than the sum of its proper divisors (335272584).

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

212313336 is a wasteful number, since it uses less digits than its factorization.

212313336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2152 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 212313336 is about 14570.9758080919. The cubic root of 212313336 is about 596.5668150932.

Adding to 212313336 its reverse (633313212), we get a palindrome (845626548).

The spelling of 212313336 in words is "two hundred twelve million, three hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 53 83 106 159 166 212 249 318 332 424 498 636 664 996 1272 1992 2011 4022 4399 6033 8044 8798 12066 13197 16088 17596 24132 26394 35192 48264 52788 105576 106583 166913 213166 319749 333826 426332 500739 639498 667652 852664 1001478 1278996 1335304 2002956 2557992 4005912 8846389 17692778 26539167 35385556 53078334 70771112 106156668 212313336