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214465014 = 23241714093
BaseRepresentation
bin11001100100001…
…11100111110110
3112221112221200200
430302013213312
5414400340024
633140421330
75212631301
oct1462074766
9487487620
10214465014
11100072815
125b9a7846
133558029a
14206a9b38
1513c652c9
hexcc879f6

214465014 has 48 divisors (see below), whose sum is σ = 482829984. Its totient is φ = 68745600.

The previous prime is 214464917. The next prime is 214465033. The reversal of 214465014 is 410564412.

214465014 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 650 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50352 + ... + 54444.

It is an arithmetic number, because the mean of its divisors is an integer number (10058958).

Almost surely, 2214465014 is an apocalyptic number.

214465014 is an abundant number, since it is smaller than the sum of its proper divisors (268364970).

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

214465014 is a wasteful number, since it uses less digits than its factorization.

214465014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 214465014 is about 14644.6240648232. The cubic root of 214465014 is about 598.5753365676.

The spelling of 214465014 in words is "two hundred fourteen million, four hundred sixty-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 41 71 82 123 142 213 246 369 426 639 738 1278 2911 4093 5822 8186 8733 12279 17466 24558 26199 36837 52398 73674 167813 290603 335626 503439 581206 871809 1006878 1510317 1743618 2615427 3020634 5230854 11914723 23829446 35744169 71488338 107232507 214465014