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214497361 = 1397170101
BaseRepresentation
bin11001100100011…
…11100001010001
3112221121121001201
430302033201101
5414402403421
633141231201
75213124511
oct1462174121
9487547051
10214497361
11100095051
125ba02501
1335591c20
14206b7841
1513c6eb91
hexcc8f851

214497361 has 8 divisors (see below), whose sum is σ = 233379944. Its totient is φ = 195955200.

The previous prime is 214497359. The next prime is 214497377. The reversal of 214497361 is 163794412.

It can be written as a sum of positive squares in 4 ways, for example, as 50625 + 214446736 = 225^2 + 14644^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 4-Lehmer number, since φ(214497361) divides (214497361-1)4.

It is a cyclic number.

It is not a de Polignac number, because 214497361 - 21 = 214497359 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214497361.

It is not an unprimeable number, because it can be changed into a prime (214497301) 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, 83790 + ... + 86311.

It is an arithmetic number, because the mean of its divisors is an integer number (29172493).

Almost surely, 2214497361 is an apocalyptic number.

It is an amenable number.

214497361 is a deficient number, since it is larger than the sum of its proper divisors (18882583).

214497361 is a wasteful number, since it uses less digits than its factorization.

214497361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170211.

The product of its digits is 36288, while the sum is 37.

The square root of 214497361 is about 14645.7284216252. The cubic root of 214497361 is about 598.6054287221.

The spelling of 214497361 in words is "two hundred fourteen million, four hundred ninety-seven thousand, three hundred sixty-one".

Divisors: 1 13 97 1261 170101 2211313 16499797 214497361