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214145141 = 7217257077
BaseRepresentation
bin11001100001110…
…01100001110101
3112220221200220112
430300321201311
5414310121031
633125512405
75210126600
oct1460714165
9486850815
10214145141
11aa974461
125b872705
133549a802
1420625337
1513c0062b
hexcc39875

214145141 has 12 divisors (see below), whose sum is σ = 263762028. Its totient is φ = 172755072.

The previous prime is 214145131. The next prime is 214145147. The reversal of 214145141 is 141541412.

214145141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 162664516 + 51480625 = 12754^2 + 7175^2 .

It is a de Polignac number, because none of the positive numbers 2k-214145141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214145147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127706 + ... + 129371.

It is an arithmetic number, because the mean of its divisors is an integer number (21980169).

Almost surely, 2214145141 is an apocalyptic number.

It is an amenable number.

214145141 is a deficient number, since it is larger than the sum of its proper divisors (49616887).

214145141 is a wasteful number, since it uses less digits than its factorization.

214145141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257108 (or 257101 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 214145141 is about 14633.6988147221. The cubic root of 214145141 is about 598.2775982479.

Adding to 214145141 its reverse (141541412), we get a palindrome (355686553).

The spelling of 214145141 in words is "two hundred fourteen million, one hundred forty-five thousand, one hundred forty-one".

Divisors: 1 7 17 49 119 833 257077 1799539 4370309 12596773 30592163 214145141