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214279936 = 281331267
BaseRepresentation
bin11001100010110…
…10011100000000
3112221012112210221
430301122130000
5414323424221
633132432424
75211230563
oct1461323400
9487175727
10214279936
11aaa56762
125b918714
1335516c80
142065c4da
1513c2a541
hexcc5a700

214279936 has 108 divisors (see below), whose sum is σ = 483066696. Its totient is φ = 94279680.

The previous prime is 214279931. The next prime is 214279943. The reversal of 214279936 is 639972412.

It is a junction number, because it is equal to n+sod(n) for n = 214279892 and 214279901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214279931) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3198175 + ... + 3198241.

Almost surely, 2214279936 is an apocalyptic number.

214279936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214279936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241533348).

214279936 is an abundant number, since it is smaller than the sum of its proper divisors (268786760).

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

214279936 is an equidigital number, since it uses as much as digits as its factorization.

214279936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 113 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The square root of 214279936 is about 14638.3037268667. The cubic root of 214279936 is about 598.4031017788.

The spelling of 214279936 in words is "two hundred fourteen million, two hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 67 104 124 128 134 208 248 256 268 403 416 496 536 806 832 871 961 992 1072 1612 1664 1742 1922 1984 2077 2144 3224 3328 3484 3844 3968 4154 4288 6448 6968 7688 7936 8308 8576 12493 12896 13936 15376 16616 17152 24986 25792 27001 27872 30752 33232 49972 51584 54002 55744 61504 64387 66464 99944 103168 108004 111488 123008 128774 132928 199888 216008 222976 246016 257548 265856 399776 432016 515096 531712 799552 837031 864032 1030192 1599104 1674062 1728064 2060384 3198208 3348124 3456128 4120768 6696248 6912256 8241536 13392496 16483072 26784992 53569984 107139968 214279936