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229239101 = 72131721169
BaseRepresentation
bin11011010100111…
…10100100111101
3120222100112221002
431222132210331
5432141122401
634425220045
75452333400
oct1552364475
9528315832
10229239101
11108443803
1264931625
1338653b50
1422633d37
15151d2a6b
hexda9e93d

229239101 has 24 divisors (see below), whose sum is σ = 304085880. Its totient is φ = 170698752.

The previous prime is 229239089. The next prime is 229239107. The reversal of 229239101 is 101932922.

It can be written as a sum of positive squares in 4 ways, for example, as 85119076 + 144120025 = 9226^2 + 12005^2 .

It is not a de Polignac number, because 229239101 - 214 = 229222717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229239107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245 + ... + 21413.

It is an arithmetic number, because the mean of its divisors is an integer number (12670245).

Almost surely, 2229239101 is an apocalyptic number.

It is an amenable number.

229239101 is a deficient number, since it is larger than the sum of its proper divisors (74846779).

229239101 is a wasteful number, since it uses less digits than its factorization.

229239101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21213 (or 21206 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 229239101 is about 15140.6440087600. The cubic root of 229239101 is about 612.0161730173.

The spelling of 229239101 in words is "two hundred twenty-nine million, two hundred thirty-nine thousand, one hundred one".

Divisors: 1 7 13 17 49 91 119 221 637 833 1547 10829 21169 148183 275197 359873 1037281 1926379 2519111 4678349 13484653 17633777 32748443 229239101