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229825957 = 192292757
BaseRepresentation
bin11011011001011…
…01110110100101
3121000110100221111
431230231312211
5432313412312
634445545021
75460326344
oct1554556645
9530410844
10229825957
11108804709
1264b75171
13387cacba
1422747b5b
151529b8a7
hexdb2dda5

229825957 has 18 divisors (see below), whose sum is σ = 251543058. Its totient is φ = 209944224.

The previous prime is 229825949. The next prime is 229825961. The reversal of 229825957 is 759528922.

It can be written as a sum of positive squares in 3 ways, for example, as 48358116 + 181467841 = 6954^2 + 13471^2 .

It is not a de Polignac number, because 229825957 - 23 = 229825949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 229825957.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229825357) 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 17 ways as a sum of consecutive naturals, for example, 303223 + ... + 303979.

Almost surely, 2229825957 is an apocalyptic number.

It is an amenable number.

229825957 is a deficient number, since it is larger than the sum of its proper divisors (21717101).

229825957 is an equidigital number, since it uses as much as digits as its factorization.

229825957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 805 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The square root of 229825957 is about 15160.0117744018. The cubic root of 229825957 is about 612.5379852605.

The spelling of 229825957 in words is "two hundred twenty-nine million, eight hundred twenty-five thousand, nine hundred fifty-seven".

Divisors: 1 19 29 361 551 757 841 10469 14383 15979 21953 273277 303601 417107 636637 7925033 12096103 229825957