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212427320 = 23572926161
BaseRepresentation
bin11001010100101…
…10001000111000
3112210201102111112
430222112020320
5413340133240
633025015452
75156413430
oct1452261070
9483642445
10212427320
11a9a00876
125b184588
1335018951
14202d92c0
15139b1665
hexca96238

212427320 has 64 divisors (see below), whose sum is σ = 565099200. Its totient is φ = 70318080.

The previous prime is 212427311. The next prime is 212427329. The reversal of 212427320 is 23724212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212427311) and next prime (212427329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212427329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4961 + ... + 21200.

It is an arithmetic number, because the mean of its divisors is an integer number (8829675).

Almost surely, 2212427320 is an apocalyptic number.

212427320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212427320 is an abundant number, since it is smaller than the sum of its proper divisors (352671880).

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

212427320 is a wasteful number, since it uses less digits than its factorization.

212427320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26208 (or 26204 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 212427320 is about 14574.8866204853. The cubic root of 212427320 is about 596.6735549836.

The spelling of 212427320 in words is "two hundred twelve million, four hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 26161 52322 104644 130805 183127 209288 261610 366254 523220 732508 758669 915635 1046440 1465016 1517338 1831270 3034676 3662540 3793345 5310683 6069352 7325080 7586690 10621366 15173380 21242732 26553415 30346760 42485464 53106830 106213660 212427320