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212255340 = 2235111631973
BaseRepresentation
bin11001010011011…
…00001001101100
3112210101200120220
430221230021230
5413314132330
633021211340
75155066143
oct1451541154
9483350526
10212255340
11a98a3640
125b100b50
1334c8859b
142029275a
151397a710
hexca6c26c

212255340 has 96 divisors (see below), whose sum is σ = 652651776. Its totient is φ = 51114240.

The previous prime is 212255297. The next prime is 212255341. The reversal of 212255340 is 43552212.

212255340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212255340.

It is not an unprimeable number, because it can be changed into a prime (212255341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 106594 + ... + 108566.

It is an arithmetic number, because the mean of its divisors is an integer number (6798456).

Almost surely, 2212255340 is an apocalyptic number.

212255340 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 212255340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326325888).

212255340 is an abundant number, since it is smaller than the sum of its proper divisors (440396436).

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

212255340 is a wasteful number, since it uses less digits than its factorization.

212255340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 212255340 is about 14568.9855515063. The cubic root of 212255340 is about 596.5124902912.

It can be divided in two parts, 21225 and 5340, that added together give a triangular number (26565 = T230).

The spelling of 212255340 in words is "two hundred twelve million, two hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 163 165 220 326 330 489 652 660 815 978 1630 1793 1956 1973 2445 3260 3586 3946 4890 5379 5919 7172 7892 8965 9780 9865 10758 11838 17930 19730 21516 21703 23676 26895 29595 35860 39460 43406 53790 59190 65109 86812 107580 108515 118380 130218 217030 260436 321599 325545 434060 643198 651090 964797 1286396 1302180 1607995 1929594 3215990 3537589 3859188 4823985 6431980 7075178 9647970 10612767 14150356 17687945 19295940 21225534 35375890 42451068 53063835 70751780 106127670 212255340