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214147215 = 325171571783
BaseRepresentation
bin11001100001110…
…10000010001111
3112220221210202100
430300322002033
5414310202330
633125530143
75210135622
oct1460720217
9486853670
10214147215
11aa975a77
125b873953
133549b739
1420625db9
1513c01060
hexcc3a08f

214147215 has 48 divisors (see below), whose sum is σ = 395748288. Its totient is φ = 106748928.

The previous prime is 214147211. The next prime is 214147217. The reversal of 214147215 is 512741412.

It is not a de Polignac number, because 214147215 - 22 = 214147211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214147211) 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 47 ways as a sum of consecutive naturals, for example, 119214 + ... + 120996.

It is an arithmetic number, because the mean of its divisors is an integer number (8244756).

Almost surely, 2214147215 is an apocalyptic number.

214147215 is a deficient number, since it is larger than the sum of its proper divisors (181601073).

214147215 is a wasteful number, since it uses less digits than its factorization.

214147215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1965 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 214147215 is about 14633.7696783843. The cubic root of 214147215 is about 598.2795296852.

Adding to 214147215 its reverse (512741412), we get a palindrome (726888627).

The spelling of 214147215 in words is "two hundred fourteen million, one hundred forty-seven thousand, two hundred fifteen".

Divisors: 1 3 5 9 15 17 45 51 85 153 157 255 471 765 785 1413 1783 2355 2669 5349 7065 8007 8915 13345 16047 24021 26745 30311 40035 80235 90933 120105 151555 272799 279931 454665 839793 1363995 1399655 2519379 4198965 4758827 12596895 14276481 23794135 42829443 71382405 214147215