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214468008 = 23323388529
BaseRepresentation
bin11001100100010…
…00010110101000
3112221120002210120
430302020112220
5414400434013
633140443240
75212643106
oct1462102650
9487502716
10214468008
11100074a97
125b9a9520
1335581761
14206aac76
1513c66123
hexcc885a8

214468008 has 32 divisors (see below), whose sum is σ = 559483200. Its totient is φ = 68380928.

The previous prime is 214467989. The next prime is 214468019. The reversal of 214468008 is 800864412.

It is a self number, because there is not a number n which added to its sum of digits gives 214468008.

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, 193713 + ... + 194816.

It is an arithmetic number, because the mean of its divisors is an integer number (17483850).

Almost surely, 2214468008 is an apocalyptic number.

It is an amenable number.

214468008 is an abundant number, since it is smaller than the sum of its proper divisors (345015192).

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

214468008 is a wasteful number, since it uses less digits than its factorization.

214468008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388561 (or 388557 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 214468008 is about 14644.7262862779. The cubic root of 214468008 is about 598.5781219888.

The spelling of 214468008 in words is "two hundred fourteen million, four hundred sixty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 388529 777058 1165587 1554116 2331174 3108232 4662348 8936167 9324696 17872334 26808501 35744668 53617002 71489336 107234004 214468008