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212322320 = 2457379147
BaseRepresentation
bin11001010011111…
…00100000010000
3112210112002110122
430221330200100
5413323303240
633022445412
75155465340
oct1451744020
9483462418
10212322320
11a99399a1
125b133868
1334cacc12
14202acd20
15139904b5
hexca7c810

212322320 has 40 divisors (see below), whose sum is σ = 564172224. Its totient is φ = 72796032.

The previous prime is 212322289. The next prime is 212322373. The reversal of 212322320 is 23223212.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 189014 + ... + 190133.

Almost surely, 2212322320 is an apocalyptic number.

212322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212322320 is an abundant number, since it is smaller than the sum of its proper divisors (351849904).

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

212322320 is a wasteful number, since it uses less digits than its factorization.

212322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379167 (or 379161 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 212322320 is about 14571.2840889195. The cubic root of 212322320 is about 596.5752295131.

Adding to 212322320 its reverse (23223212), we get a palindrome (235545532).

The spelling of 212322320 in words is "two hundred twelve million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 379147 758294 1516588 1895735 2654029 3033176 3791470 5308058 6066352 7582940 10616116 13270145 15165880 21232232 26540290 30331760 42464464 53080580 106161160 212322320