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212112162 = 233171912161
BaseRepresentation
bin11001010010010…
…01001100100010
3112210010102012000
430221021030202
5413300042122
633014144430
75153631543
oct1451111442
9483112160
10212112162
11a9806009
125b052116
1334c38372
14202564ca
151394d0ac
hexca49322

212112162 has 64 divisors (see below), whose sum is σ = 525398400. Its totient is φ = 63037440.

The previous prime is 212112161. The next prime is 212112167. The reversal of 212112162 is 261211212.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (212112161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11362 + ... + 23522.

It is an arithmetic number, because the mean of its divisors is an integer number (8209350).

Almost surely, 2212112162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262699200).

212112162 is an abundant number, since it is smaller than the sum of its proper divisors (313286238).

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

212112162 is a wasteful number, since it uses less digits than its factorization.

212112162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12208 (or 12202 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 212112162 is about 14564.0709281437. The cubic root of 212112162 is about 596.3783332007.

Adding to 212112162 its reverse (261211212), we get a palindrome (473323374).

The spelling of 212112162 in words is "two hundred twelve million, one hundred twelve thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 513 646 918 969 1026 1938 2907 5814 8721 12161 17442 24322 36483 72966 109449 206737 218898 231059 328347 413474 462118 620211 656694 693177 1240422 1386354 1860633 2079531 3721266 3928003 4159062 5581899 6238593 7856006 11163798 11784009 12477186 23568018 35352027 70704054 106056081 212112162