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214013153 = 174127489
BaseRepresentation
bin11001100000110…
…01010011100001
3112220200222212002
430300121103201
5414241410103
633123013345
75206040024
oct1460312341
9486628762
10214013153
11aa894282
125b80a255
1335452703
14205cd1bb
1513bc6488
hexcc194e1

214013153 has 12 divisors (see below), whose sum is σ = 232294860. Its totient is φ = 196485120.

The previous prime is 214013147. The next prime is 214013159. The reversal of 214013153 is 351310412.

It is an interprime number because it is at equal distance from previous prime (214013147) and next prime (214013159).

It can be written as a sum of positive squares in 6 ways, for example, as 34774609 + 179238544 = 5897^2 + 13388^2 .

It is not a de Polignac number, because 214013153 - 218 = 213751009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214013159) 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, 24833 + ... + 32321.

It is an arithmetic number, because the mean of its divisors is an integer number (19357905).

Almost surely, 2214013153 is an apocalyptic number.

It is an amenable number.

214013153 is a deficient number, since it is larger than the sum of its proper divisors (18281707).

214013153 is an equidigital number, since it uses as much as digits as its factorization.

214013153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7547 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 214013153 is about 14629.1883917051. The cubic root of 214013153 is about 598.1546571868.

Adding to 214013153 its reverse (351310412), we get a palindrome (565323565).

The spelling of 214013153 in words is "two hundred fourteen million, thirteen thousand, one hundred fifty-three".

Divisors: 1 17 41 697 1681 7489 28577 127313 307049 5219833 12589009 214013153