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214116077 = 729237983
BaseRepresentation
bin11001100001100…
…10011011101101
3112220220020001002
430300302123231
5414303203302
633125130045
75206646060
oct1460623355
9486806032
10214116077
11aa95463a
125b859925
133548a506
14206188d7
1513be6c02
hexcc326ed

214116077 has 24 divisors (see below), whose sum is σ = 260547456. Its totient is φ = 172234944.

The previous prime is 214116047. The next prime is 214116079. The reversal of 214116077 is 770611412.

It is not a de Polignac number, because 214116077 - 28 = 214115821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214116079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217328 + ... + 218310.

It is an arithmetic number, because the mean of its divisors is an integer number (10856144).

Almost surely, 2214116077 is an apocalyptic number.

It is an amenable number.

214116077 is a deficient number, since it is larger than the sum of its proper divisors (46431379).

214116077 is an equidigital number, since it uses as much as digits as its factorization.

214116077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 214116077 is about 14632.7057306569. The cubic root of 214116077 is about 598.2505307386.

Adding to 214116077 its reverse (770611412), we get a palindrome (984727489).

The spelling of 214116077 in words is "two hundred fourteen million, one hundred sixteen thousand, seventy-seven".

Divisors: 1 7 29 37 203 259 841 983 1073 5887 6881 7511 28507 31117 36371 199549 217819 254597 826703 1054759 5786921 7383313 30588011 214116077