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212526280 = 23552310159
BaseRepresentation
bin11001010101011…
…10010011001000
3112210220110020201
430222232103020
5413401320110
633031101544
75160305101
oct1452562310
9483813221
10212526280
11a9a6915a
125b2118b4
13350519c5
14203233a8
15139d0b3a
hexcaae4c8

212526280 has 32 divisors (see below), whose sum is σ = 479145600. Its totient is φ = 84839616.

The previous prime is 212526271. The next prime is 212526323. The reversal of 212526280 is 82625212.

212526280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 15841 + ... + 25999.

It is an arithmetic number, because the mean of its divisors is an integer number (14973300).

Almost surely, 2212526280 is an apocalyptic number.

212526280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212526280 is an abundant number, since it is smaller than the sum of its proper divisors (266619320).

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

212526280 is a wasteful number, since it uses less digits than its factorization.

212526280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10693 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 212526280 is about 14578.2811058094. The cubic root of 212526280 is about 596.7661947444.

The spelling of 212526280 in words is "two hundred twelve million, five hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 523 1046 2092 2615 4184 5230 10159 10460 20318 20920 40636 50795 81272 101590 203180 406360 5313157 10626314 21252628 26565785 42505256 53131570 106263140 212526280