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229790106 = 2327413409
BaseRepresentation
bin11011011001001…
…01000110011010
3121000101112202200
431230211012122
5432311240411
634445111030
75460120000
oct1554450632
9530345680
10229790106
1110878a787
1264b58476
13387b78a0
1422738a70
1515290e56
hexdb2519a

229790106 has 120 divisors (see below), whose sum is σ = 627031860. Its totient is φ = 60455808.

The previous prime is 229790089. The next prime is 229790131. The reversal of 229790106 is 601097922.

229790106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 229249881 + 540225 = 15141^2 + 735^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 561630 + ... + 562038.

Almost surely, 2229790106 is an apocalyptic number.

229790106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 229790106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313515930).

229790106 is an abundant number, since it is smaller than the sum of its proper divisors (397241754).

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

229790106 is a wasteful number, since it uses less digits than its factorization.

229790106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 229790106 is about 15158.8293083602. The cubic root of 229790106 is about 612.5061332719.

The spelling of 229790106 in words is "two hundred twenty-nine million, seven hundred ninety thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 409 441 546 637 686 818 819 882 1029 1227 1274 1638 1911 2058 2401 2454 2863 3087 3681 3822 4459 4802 5317 5726 5733 6174 7203 7362 8589 8918 10634 11466 13377 14406 15951 17178 20041 21609 25767 26754 31213 31902 37219 40082 40131 43218 47853 51534 60123 62426 74438 80262 93639 95706 111657 120246 140287 180369 187278 223314 260533 280574 280917 334971 360738 420861 521066 561834 669942 781599 841722 982009 1262583 1563198 1823731 1964018 2344797 2525166 2946027 3647462 4689594 5471193 5892054 8838081 10942386 12766117 16413579 17676162 25532234 32827158 38298351 76596702 114895053 229790106