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212300340 = 22357272211
BaseRepresentation
bin11001010011101…
…11001000110100
3112210110222022120
430221313020310
5413322102330
633022155540
75155344300
oct1451671064
9483428276
10212300340
11a992442a
125b122bb0
1334ca2c05
14202a4d00
1513988c10
hexca77234

212300340 has 72 divisors (see below), whose sum is σ = 691502112. Its totient is φ = 48525120.

The previous prime is 212300321. The next prime is 212300359. The reversal of 212300340 is 43003212.

212300340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212300321) and next prime (212300359).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33166 + ... + 39045.

It is an arithmetic number, because the mean of its divisors is an integer number (9604196).

Almost surely, 2212300340 is an apocalyptic number.

212300340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212300340 is an abundant number, since it is smaller than the sum of its proper divisors (479201772).

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

212300340 is a wasteful number, since it uses less digits than its factorization.

212300340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72237 (or 72228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 212300340 is about 14570.5298462341. The cubic root of 212300340 is about 596.5546426116.

Adding to 212300340 its reverse (43003212), we get a palindrome (255303552).

The spelling of 212300340 in words is "two hundred twelve million, three hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 72211 144422 216633 288844 361055 433266 505477 722110 866532 1010954 1083165 1444220 1516431 2021908 2166330 2527385 3032862 3538339 4332660 5054770 6065724 7076678 7582155 10109540 10615017 14153356 15164310 17691695 21230034 30328620 35383390 42460068 53075085 70766780 106150170 212300340