Search a number
-
+
214004491025 = 52136171067221
BaseRepresentation
bin1100011101001110101…
…0010110001100010001
3202110101100012112121012
43013103222112030101
512001240122203100
6242151242540305
721314142105623
oct3072352261421
9673340175535
10214004491025
1182838a57626
1235585807695
1317246841260
14a502006c13
155877b93135
hex31d3a96311

214004491025 has 24 divisors (see below), whose sum is σ = 286241747064. Its totient is φ = 157777804800.

The previous prime is 214004491013. The next prime is 214004491033. The reversal of 214004491025 is 520194400412.

It can be written as a sum of positive squares in 12 ways, for example, as 176275701904 + 37728789121 = 419852^2 + 194239^2 .

It is not a de Polignac number, because 214004491025 - 210 = 214004490001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214004490982 and 214004491000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333086 + ... + 734135.

It is an arithmetic number, because the mean of its divisors is an integer number (11926739461).

Almost surely, 2214004491025 is an apocalyptic number.

214004491025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214004491025 is a deficient number, since it is larger than the sum of its proper divisors (72237256039).

214004491025 is a wasteful number, since it uses less digits than its factorization.

214004491025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067861 (or 1067856 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 214004491025 its reverse (520194400412), we get a palindrome (734198891437).

The spelling of 214004491025 in words is "two hundred fourteen billion, four million, four hundred ninety-one thousand, twenty-five".

Divisors: 1 5 13 25 65 325 617 3085 8021 15425 40105 200525 1067221 5336105 13873873 26680525 69369365 346846825 658475357 3292376785 8560179641 16461883925 42800898205 214004491025