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212230112 = 2543891733
BaseRepresentation
bin11001010011001…
…01111111100000
3112210100101222112
430221211333200
5413312330422
633020454452
75154632453
oct1451457740
9483311875
10212230112
11a9886696
125b0aa428
1334c79c63
142028749a
1513972ee2
hexca65fe0

212230112 has 48 divisors (see below), whose sum is σ = 432598320. Its totient is φ = 102423552.

The previous prime is 212230111. The next prime is 212230181. The reversal of 212230112 is 211032212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212230111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121598 + ... + 123330.

It is an arithmetic number, because the mean of its divisors is an integer number (9012465).

Almost surely, 2212230112 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 212230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216299160).

212230112 is an abundant number, since it is smaller than the sum of its proper divisors (220368208).

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

212230112 is a wasteful number, since it uses less digits than its factorization.

212230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 212230112 is about 14568.1197139507. The cubic root of 212230112 is about 596.4888561573.

Adding to 212230112 its reverse (211032212), we get a palindrome (423262324).

The spelling of 212230112 in words is "two hundred twelve million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 89 172 178 344 356 688 712 1376 1424 1733 2848 3466 3827 6932 7654 13864 15308 27728 30616 55456 61232 74519 122464 149038 154237 298076 308474 596152 616948 1192304 1233896 2384608 2467792 4935584 6632191 13264382 26528764 53057528 106115056 212230112