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214060319 = 11592271453
BaseRepresentation
bin11001100001001…
…00110100011111
3112220210101112222
430300210310133
5414244412234
633124015555
75206324364
oct1460446437
9486711488
10214060319
11aa916760
125b8315bb
133546b015
142060246b
1513bd542e
hexcc24d1f

214060319 has 16 divisors (see below), whose sum is σ = 238688640. Its totient is φ = 190328160.

The previous prime is 214060271. The next prime is 214060361. The reversal of 214060319 is 913060412.

214060319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-214060319 is a prime.

It is a super-2 number, since 2×2140603192 = 91643640340763522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214060369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146597 + ... + 148049.

It is an arithmetic number, because the mean of its divisors is an integer number (14918040).

Almost surely, 2214060319 is an apocalyptic number.

214060319 is a deficient number, since it is larger than the sum of its proper divisors (24628321).

214060319 is a wasteful number, since it uses less digits than its factorization.

214060319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 214060319 is about 14630.8003540476. The cubic root of 214060319 is about 598.1985960598.

The spelling of 214060319 in words is "two hundred fourteen million, sixty thousand, three hundred nineteen".

Divisors: 1 11 59 227 649 1453 2497 13393 15983 85727 147323 329831 942997 3628141 19460029 214060319