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214015601 = 1719243811
BaseRepresentation
bin11001100000110…
…01111001110001
3112220201010012202
430300121321301
5414241444401
633123032545
75206050122
oct1460317161
9486633182
10214015601
11aa8960a8
125b80b755
1335453867
14205d0049
1513bc706b
hexcc19e71

214015601 has 24 divisors (see below), whose sum is σ = 245022624. Its totient is φ = 186157440.

The previous prime is 214015591. The next prime is 214015603. The reversal of 214015601 is 106510412.

214015601 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 214015601 - 218 = 213753457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214015603) 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, 263486 + ... + 264296.

It is an arithmetic number, because the mean of its divisors is an integer number (10209276).

Almost surely, 2214015601 is an apocalyptic number.

It is an amenable number.

214015601 is a deficient number, since it is larger than the sum of its proper divisors (31007023).

214015601 is a wasteful number, since it uses less digits than its factorization.

214015601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 214015601 is about 14629.2720598121. The cubic root of 214015601 is about 598.1569378520.

The spelling of 214015601 in words is "two hundred fourteen million, fifteen thousand, six hundred one".

Divisors: 1 17 19 43 323 361 731 811 817 6137 13787 13889 15409 15523 34873 261953 263891 292771 592841 662587 4977107 11263979 12589153 214015601