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229416941 = 13291973089
BaseRepresentation
bin11011010110010…
…01111111101101
3120222200120212202
431223021333231
5432212320231
634433111245
75454004025
oct1553117755
9528616782
10229416941
11108555386
12649b8525
13386b6a90
142267ca85
151521a5cb
hexdac9fed

229416941 has 16 divisors (see below), whose sum is σ = 256964400. Its totient is φ = 203363328.

The previous prime is 229416937. The next prime is 229416953. The reversal of 229416941 is 149614922.

It can be written as a sum of positive squares in 8 ways, for example, as 32604100 + 196812841 = 5710^2 + 14029^2 .

It is a cyclic number.

It is not a de Polignac number, because 229416941 - 22 = 229416937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 229416895 and 229416904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229416041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72725 + ... + 75813.

It is an arithmetic number, because the mean of its divisors is an integer number (16060275).

Almost surely, 2229416941 is an apocalyptic number.

It is an amenable number.

229416941 is a deficient number, since it is larger than the sum of its proper divisors (27547459).

229416941 is a wasteful number, since it uses less digits than its factorization.

229416941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328.

The product of its digits is 31104, while the sum is 38.

The square root of 229416941 is about 15146.5158039729. The cubic root of 229416941 is about 612.1743962031.

The spelling of 229416941 in words is "two hundred twenty-nine million, four hundred sixteen thousand, nine hundred forty-one".

Divisors: 1 13 29 197 377 2561 3089 5713 40157 74269 89581 608533 1164553 7910929 17647457 229416941