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229602340 = 225112175581
BaseRepresentation
bin11011010111101…
…11010000100100
3121000001000012101
431223313100210
5432234233330
634441101444
75455405402
oct1553672044
9530030171
10229602340
11108671700
1264a87884
1338750296
14226ca472
15152554ca
hexdaf7424

229602340 has 72 divisors (see below), whose sum is σ = 561258936. Its totient is φ = 78566400.

The previous prime is 229602299. The next prime is 229602341. The reversal of 229602340 is 43206922.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 198866404 = 5544^2 + 14102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 229602299 and 229602308.

It is not an unprimeable number, because it can be changed into a prime (229602341) 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, 38350 + ... + 43930.

It is an arithmetic number, because the mean of its divisors is an integer number (7795263).

Almost surely, 2229602340 is an apocalyptic number.

229602340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229602340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280629468).

229602340 is an abundant number, since it is smaller than the sum of its proper divisors (331656596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

229602340 is a wasteful number, since it uses less digits than its factorization.

229602340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5629 (or 5616 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 229602340 is about 15152.6347543917. The cubic root of 229602340 is about 612.3392575552.

The spelling of 229602340 in words is "two hundred twenty-nine million, six hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 121 170 187 220 242 340 374 484 605 748 935 1210 1870 2057 2420 3740 4114 5581 8228 10285 11162 20570 22324 27905 41140 55810 61391 94877 111620 122782 189754 245564 306955 379508 474385 613910 675301 948770 1043647 1227820 1350602 1897540 2087294 2701204 3376505 4174588 5218235 6753010 10436470 11480117 13506020 20872940 22960234 45920468 57400585 114801170 229602340