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229780368 = 24334711317
BaseRepresentation
bin11011011001000…
…10101110010000
3121000101001102000
431230202232100
5432310432433
634444554000
75460046416
oct1554425620
9530331360
10229780368
11108783434
1264b52900
13387b331c
14227352b6
151528d113
hexdb22b90

229780368 has 80 divisors (see below), whose sum is σ = 673647360. Its totient is φ = 74957184.

The previous prime is 229780361. The next prime is 229780391. The reversal of 229780368 is 863087922.

It is not an unprimeable number, because it can be changed into a prime (229780361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14646 + ... + 25962.

It is an arithmetic number, because the mean of its divisors is an integer number (8420592).

Almost surely, 2229780368 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 229780368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336823680).

229780368 is an abundant number, since it is smaller than the sum of its proper divisors (443866992).

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

229780368 is a wasteful number, since it uses less digits than its factorization.

229780368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 229780368 is about 15158.5081060110. The cubic root of 229780368 is about 612.4974809281.

The spelling of 229780368 in words is "two hundred twenty-nine million, seven hundred eighty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 11317 20304 22634 33951 45268 67902 90536 101853 135804 181072 203706 271608 305559 407412 531899 543216 611118 814824 1063798 1222236 1595697 1629648 2127596 2444472 3191394 4255192 4787091 4888944 6382788 8510384 9574182 12765576 14361273 19148364 25531152 28722546 38296728 57445092 76593456 114890184 229780368