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212412112 = 24112109717
BaseRepresentation
bin11001010100100…
…10011011010000
3112210200122122021
430222102123100
5413334141422
633024421224
75156321203
oct1452223320
9483618567
10212412112
11a99a0400
125b177814
1335011a53
14202d393a
15139abdc7
hexca926d0

212412112 has 30 divisors (see below), whose sum is σ = 452367314. Its totient is φ = 96550080.

The previous prime is 212412097. The next prime is 212412149. The reversal of 212412112 is 211214212.

It can be written as a sum of positive squares in only one way, i.e., 187251856 + 25160256 = 13684^2 + 5016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52923 + ... + 56794.

Almost surely, 2212412112 is an apocalyptic number.

212412112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212412112 is an abundant number, since it is smaller than the sum of its proper divisors (239955202).

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

212412112 is a wasteful number, since it uses less digits than its factorization.

212412112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109747 (or 109730 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 212412112 is about 14574.3648918229. The cubic root of 212412112 is about 596.6593157166.

Adding to 212412112 its reverse (211214212), we get a palindrome (423626324).

The spelling of 212412112 in words is "two hundred twelve million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 109717 219434 438868 877736 1206887 1755472 2413774 4827548 9655096 13275757 19310192 26551514 53103028 106206056 212412112