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229813168 = 241329311229
BaseRepresentation
bin11011011001010…
…10101110110000
3121000102201101211
431230222232300
5432313010133
634445405504
75460244144
oct1554525660
9530381354
10229813168
111087a6042
1264b69894
13387c5230
1422743224
1515297bcd
hexdb2abb0

229813168 has 80 divisors (see below), whose sum is σ = 512467200. Its totient is φ = 99025920.

The previous prime is 229813153. The next prime is 229813193. The reversal of 229813168 is 861318922.

It is a self number, because there is not a number n which added to its sum of digits gives 229813168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186378 + ... + 187606.

It is an arithmetic number, because the mean of its divisors is an integer number (6405840).

Almost surely, 2229813168 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 229813168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256233600).

229813168 is an abundant number, since it is smaller than the sum of its proper divisors (282654032).

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

229813168 is a wasteful number, since it uses less digits than its factorization.

229813168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 229813168 is about 15159.5899680697. The cubic root of 229813168 is about 612.5266231937.

The spelling of 229813168 in words is "two hundred twenty-nine million, eight hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 29 31 52 58 62 104 116 124 208 232 248 377 403 464 496 754 806 899 1229 1508 1612 1798 2458 3016 3224 3596 4916 6032 6448 7192 9832 11687 14384 15977 19664 23374 31954 35641 38099 46748 63908 71282 76198 93496 127816 142564 152396 186992 255632 285128 304792 463333 495287 570256 609584 926666 990574 1104871 1853332 1981148 2209742 3706664 3962296 4419484 7413328 7924592 8838968 14363323 17677936 28726646 57453292 114906584 229813168