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212422340 = 225133492341
BaseRepresentation
bin11001010100101…
…00111011000100
3112210201011200002
430222110323010
5413340003330
633024540432
75156363054
oct1452247304
9483634602
10212422340
11a99a8059
125b181718
13350165c0
14202d7564
15139aee45
hexca94ec4

212422340 has 48 divisors (see below), whose sum is σ = 481983600. Its totient is φ = 78174720.

The previous prime is 212422333. The next prime is 212422367. The reversal of 212422340 is 43224212.

It can be written as a sum of positive squares in 8 ways, for example, as 952576 + 211469764 = 976^2 + 14542^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89570 + ... + 91910.

It is an arithmetic number, because the mean of its divisors is an integer number (10041325).

Almost surely, 2212422340 is an apocalyptic number.

212422340 is a gapful number since it is divisible by the number (20) 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 212422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240991800).

212422340 is an abundant number, since it is smaller than the sum of its proper divisors (269561260).

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

212422340 is a wasteful number, since it uses less digits than its factorization.

212422340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 212422340 is about 14574.7157776747. The cubic root of 212422340 is about 596.6688922790.

Adding to 212422340 its reverse (43224212), we get a palindrome (255646552).

The spelling of 212422340 in words is "two hundred twelve million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 349 698 1396 1745 2341 3490 4537 4682 6980 9074 9364 11705 18148 22685 23410 30433 45370 46820 60866 90740 121732 152165 304330 608660 817009 1634018 3268036 4085045 8170090 10621117 16340180 21242234 42484468 53105585 106211170 212422340