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214221657 = 31343139919
BaseRepresentation
bin11001100010011…
…00001101011001
3112221002120212110
430301030031121
5414320043112
633131302533
75210565636
oct1461141531
9487076773
10214221657
11aaa169a1
125b8aaa49
13354c65a0
142064518d
1513c1813c
hexcc4c359

214221657 has 32 divisors (see below), whose sum is σ = 317363200. Its totient is φ = 127697472.

The previous prime is 214221649. The next prime is 214221673. The reversal of 214221657 is 756122412.

It is not a de Polignac number, because 214221657 - 23 = 214221649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214221617) 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 31 ways as a sum of consecutive naturals, for example, 232644 + ... + 233562.

It is an arithmetic number, because the mean of its divisors is an integer number (9917600).

Almost surely, 2214221657 is an apocalyptic number.

It is an amenable number.

214221657 is a deficient number, since it is larger than the sum of its proper divisors (103141543).

214221657 is a wasteful number, since it uses less digits than its factorization.

214221657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117.

The product of its digits is 6720, while the sum is 30.

The square root of 214221657 is about 14636.3129578456. The cubic root of 214221657 is about 598.3488464324.

The spelling of 214221657 in words is "two hundred fourteen million, two hundred twenty-one thousand, six hundred fifty-seven".

Divisors: 1 3 13 39 43 129 139 417 559 919 1677 1807 2757 5421 5977 11947 17931 35841 39517 77701 118551 127741 233103 383223 513721 1541163 1660633 4981899 5492863 16478589 71407219 214221657