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212272872 = 23373140759
BaseRepresentation
bin11001010011100…
…00011011101000
3112210102120122020
430221300123220
5413320212442
633021424440
75155201230
oct1451603350
9483376566
10212272872
11a9905829
125b10b120
1334c93566
1420298cc0
15139809ec
hexca706e8

212272872 has 64 divisors (see below), whose sum is σ = 626073600. Its totient is φ = 58691520.

The previous prime is 212272861. The next prime is 212272909. The reversal of 212272872 is 278272212.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 15172 + ... + 25587.

It is an arithmetic number, because the mean of its divisors is an integer number (9782400).

Almost surely, 2212272872 is an apocalyptic number.

It is an amenable number.

212272872 is an abundant number, since it is smaller than the sum of its proper divisors (413800728).

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

212272872 is a wasteful number, since it uses less digits than its factorization.

212272872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40806 (or 40802 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 212272872 is about 14569.5872281956. The cubic root of 212272872 is about 596.5289135436.

The spelling of 212272872 in words is "two hundred twelve million, two hundred seventy-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 40759 81518 122277 163036 244554 285313 326072 489108 570626 855939 978216 1141252 1263529 1711878 2282504 2527058 3423756 3790587 5054116 6847512 7581174 8844703 10108232 15162348 17689406 26534109 30324696 35378812 53068218 70757624 106136436 212272872