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229130208 = 2534109811
BaseRepresentation
bin11011010100000…
…11111111100000
3120222011000120000
431222003333200
5432124131313
634423020000
75451401046
oct1552037740
9528130500
10229130208
11108379a0a
126489a600
1338616408
1422606396
15151b0673
hexda83fe0

229130208 has 120 divisors (see below), whose sum is σ = 680886360. Its totient is φ = 75582720.

The previous prime is 229130173. The next prime is 229130219. The reversal of 229130208 is 802031922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 282123 + ... + 282933.

It is an arithmetic number, because the mean of its divisors is an integer number (5674053).

Almost surely, 2229130208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340443180).

229130208 is an abundant number, since it is smaller than the sum of its proper divisors (451756152).

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

229130208 is a wasteful number, since it uses less digits than its factorization.

229130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 229130208 is about 15137.0475324615. The cubic root of 229130208 is about 611.9192511686.

The spelling of 229130208 in words is "two hundred twenty-nine million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 288 324 327 432 436 648 654 811 864 872 981 1296 1308 1622 1744 1962 2433 2592 2616 2943 3244 3488 3924 4866 5232 5886 6488 7299 7848 8829 9732 10464 11772 12976 14598 15696 17658 19464 21897 23544 25952 29196 31392 35316 38928 43794 47088 58392 65691 70632 77856 87588 88399 94176 116784 131382 141264 175176 176798 233568 262764 265197 282528 350352 353596 525528 530394 700704 707192 795591 1051056 1060788 1414384 1591182 2102112 2121576 2386773 2828768 3182364 4243152 4773546 6364728 7160319 8486304 9547092 12729456 14320638 19094184 25458912 28641276 38188368 57282552 76376736 114565104 229130208