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214075316 = 22721384017
BaseRepresentation
bin11001100001010…
…00011110110100
3112220211011010102
430300220132310
5414300402231
633124213232
75206416200
oct1460503664
9486734112
10214075316
11aa926a54
125b83a218
1335474ab0
1420607b00
1513bd9acb
hexcc287b4

214075316 has 36 divisors (see below), whose sum is σ = 469324548. Its totient is φ = 84688128.

The previous prime is 214075313. The next prime is 214075319. The reversal of 214075316 is 613570412.

It is an interprime number because it is at equal distance from previous prime (214075313) and next prime (214075319).

It can be written as a sum of positive squares in 2 ways, for example, as 29658916 + 184416400 = 5446^2 + 13580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214075313) 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 11 ways as a sum of consecutive naturals, for example, 39461 + ... + 44556.

It is an arithmetic number, because the mean of its divisors is an integer number (13036793).

Almost surely, 2214075316 is an apocalyptic number.

214075316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

214075316 is an abundant number, since it is smaller than the sum of its proper divisors (255249232).

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

214075316 is a wasteful number, since it uses less digits than its factorization.

214075316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84048 (or 84039 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 214075316 is about 14631.3128597539. The cubic root of 214075316 is about 598.2125656033.

The spelling of 214075316 in words is "two hundred fourteen million, seventy-five thousand, three hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 84017 168034 336068 588119 1092221 1176238 2184442 2352476 4116833 4368884 7645547 8233666 15291094 16467332 30582188 53518829 107037658 214075316