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214093536 = 2535937799
BaseRepresentation
bin11001100001011…
…00111011100000
3112220212002010020
430300230323200
5414301443121
633124433440
75206523256
oct1460547340
9486762106
10214093536
11aa939708
125b848880
1335480187
14206105d6
1513be01c6
hexcc2cee0

214093536 has 48 divisors (see below), whose sum is σ = 571536000. Its totient is φ = 70153088.

The previous prime is 214093531. The next prime is 214093547. The reversal of 214093536 is 635390412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 214093497 and 214093506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214093531) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13236 + ... + 24563.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2214093536 is an apocalyptic number.

It is an amenable number.

214093536 is an abundant number, since it is smaller than the sum of its proper divisors (357442464).

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

214093536 is a wasteful number, since it uses less digits than its factorization.

214093536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37871 (or 37863 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 214093536 is about 14631.9354837287. The cubic root of 214093536 is about 598.2295364588.

The spelling of 214093536 in words is "two hundred fourteen million, ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 37799 75598 113397 151196 226794 302392 453588 604784 907176 1209568 1814352 2230141 3628704 4460282 6690423 8920564 13380846 17841128 26761692 35682256 53523384 71364512 107046768 214093536