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214115153 = 7217401641
BaseRepresentation
bin11001100001100…
…10001101010001
3112220220011202212
430300302031101
5414303141103
633125121505
75206643300
oct1460621521
9486804685
10214115153
11aa95397a
125b859295
1335489c75
1420618437
1513be67d8
hexcc32351

214115153 has 24 divisors (see below), whose sum is σ = 264794184. Its totient is φ = 172032000.

The previous prime is 214115137. The next prime is 214115173. The reversal of 214115153 is 351511412.

It can be written as a sum of positive squares in 4 ways, for example, as 173001409 + 41113744 = 13153^2 + 6412^2 .

It is not a de Polignac number, because 214115153 - 24 = 214115137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214115113) 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, 333713 + ... + 334353.

It is an arithmetic number, because the mean of its divisors is an integer number (11033091).

Almost surely, 2214115153 is an apocalyptic number.

It is an amenable number.

214115153 is a deficient number, since it is larger than the sum of its proper divisors (50679031).

214115153 is a wasteful number, since it uses less digits than its factorization.

214115153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1066 counting only the distinct ones).

The product of its digits is 600, while the sum is 23.

The square root of 214115153 is about 14632.6741575148. The cubic root of 214115153 is about 598.2496701706.

Adding to 214115153 its reverse (351511412), we get a palindrome (565626565).

The spelling of 214115153 in words is "two hundred fourteen million, one hundred fifteen thousand, one hundred fifty-three".

Divisors: 1 7 17 49 119 401 641 833 2807 4487 6817 10897 19649 31409 47719 76279 257041 334033 533953 1799287 4369697 12595009 30587879 214115153