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214213319 = 7179181211
BaseRepresentation
bin11001100010010…
…10001011000111
3112221002011102122
430301022023013
5414314311234
633131200155
75210532425
oct1461121307
9487064378
10214213319
11aaa10701
125b8a605b
13354c2858
1420642115
1513c1592e
hexcc4a2c7

214213319 has 16 divisors (see below), whose sum is σ = 222243840. Its totient is φ = 206388000.

The previous prime is 214213301. The next prime is 214213339. The reversal of 214213319 is 913312412.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214213319 is a prime.

It is a super-2 number, since 2×2142133192 = 91774692073991522, 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 (214213339) 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 15 ways as a sum of consecutive naturals, for example, 1015124 + ... + 1015334.

It is an arithmetic number, because the mean of its divisors is an integer number (13890240).

Almost surely, 2214213319 is an apocalyptic number.

214213319 is a deficient number, since it is larger than the sum of its proper divisors (8030521).

214213319 is a wasteful number, since it uses less digits than its factorization.

214213319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542.

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

The square root of 214213319 is about 14636.0281155784. The cubic root of 214213319 is about 598.3410832935.

The spelling of 214213319 in words is "two hundred fourteen million, two hundred thirteen thousand, three hundred nineteen".

Divisors: 1 71 79 181 211 5609 12851 14299 14981 16669 38191 1015229 1183499 2711561 3017089 214213319