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212821147 = 711171943199
BaseRepresentation
bin11001010111101…
…10010010011011
3112211110102201201
430223312102123
5413440234042
633041255031
75162643550
oct1453662233
9484412651
10212821147
11aa14a750
125b334477
1335125c96
142039ca27
1513a3d1b7
hexcaf649b

212821147 has 64 divisors (see below), whose sum is σ = 304128000. Its totient is φ = 143700480.

The previous prime is 212821121. The next prime is 212821153. The reversal of 212821147 is 741128212.

It is not a de Polignac number, because 212821147 - 219 = 212296859 is a prime.

It is a super-2 number, since 2×2128211472 = 90585681220791218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212821117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069354 + ... + 1069552.

It is an arithmetic number, because the mean of its divisors is an integer number (4752000).

Almost surely, 2212821147 is an apocalyptic number.

212821147 is a deficient number, since it is larger than the sum of its proper divisors (91306853).

212821147 is a wasteful number, since it uses less digits than its factorization.

212821147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296.

The product of its digits is 1792, while the sum is 28.

The square root of 212821147 is about 14588.3908296974. The cubic root of 212821147 is about 597.0420591995.

Adding to 212821147 its reverse (741128212), we get a palindrome (953949359).

The spelling of 212821147 in words is "two hundred twelve million, eight hundred twenty-one thousand, one hundred forty-seven".

Divisors: 1 7 11 17 19 43 77 119 133 187 199 209 301 323 473 731 817 1309 1393 1463 2189 2261 3311 3383 3553 3781 5117 5719 8041 8557 8987 13889 15323 23681 24871 26467 37213 41591 56287 59899 62909 64277 94127 97223 145469 152779 162583 260491 291137 449939 658889 707047 1018283 1069453 1138081 1600159 1788413 2763911 4949329 11201113 12518891 19347377 30403021 212821147