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214116045 = 351113173577
BaseRepresentation
bin11001100001100…
…10011011001101
3112220220012222220
430300302123031
5414303203140
633125125553
75206646013
oct1460623315
9486805886
10214116045
11aa954610
125b8598b9
133548a4b0
14206188b3
1513be6bd0
hexcc326cd

214116045 has 64 divisors (see below), whose sum is σ = 405506304. Its totient is φ = 95109120.

The previous prime is 214116029. The next prime is 214116047. The reversal of 214116045 is 540611412.

It is a happy number.

214116045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214116045 - 24 = 214116029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214116047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 370797 + ... + 371373.

It is an arithmetic number, because the mean of its divisors is an integer number (6336036).

Almost surely, 2214116045 is an apocalyptic number.

It is an amenable number.

214116045 is a deficient number, since it is larger than the sum of its proper divisors (191390259).

214116045 is a wasteful number, since it uses less digits than its factorization.

214116045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 214116045 is about 14632.7046372159. The cubic root of 214116045 is about 598.2505009354.

Adding to 214116045 its reverse (540611412), we get a palindrome (754727457).

The spelling of 214116045 in words is "two hundred fourteen million, one hundred sixteen thousand, forty-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 143 165 173 195 429 519 577 715 865 1731 1903 2145 2249 2595 2885 5709 6347 6747 7501 8655 9515 11245 19041 22503 24739 28545 31735 33735 37505 74217 82511 95205 99821 112515 123695 247533 299463 371085 412555 499105 1098031 1237665 1297673 1497315 3294093 3893019 5490155 6488365 14274403 16470465 19465095 42823209 71372015 214116045