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229494320 = 245112511039
BaseRepresentation
bin11011010110111…
…00111000110000
3120222211112000122
431223130320300
5432222304240
634434505412
75454445436
oct1553347060
9528745018
10229494320
111085a8530
1264a35268
1338713073
142269cd56
15152334b5
hexdadce30

229494320 has 80 divisors (see below), whose sum is σ = 584962560. Its totient is φ = 83040000.

The previous prime is 229494319. The next prime is 229494329. The reversal of 229494320 is 23494922.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (229494329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220361 + ... + 221399.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2229494320 is an apocalyptic number.

229494320 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 229494320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292481280).

229494320 is an abundant number, since it is smaller than the sum of its proper divisors (355468240).

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

229494320 is a wasteful number, since it uses less digits than its factorization.

229494320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 229494320 is about 15149.0699384484. The cubic root of 229494320 is about 612.2432143089.

The spelling of 229494320 in words is "two hundred twenty-nine million, four hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 251 440 502 880 1004 1039 1255 2008 2078 2510 2761 4016 4156 5020 5195 5522 8312 10040 10390 11044 11429 13805 16624 20080 20780 22088 22858 27610 41560 44176 45716 55220 57145 83120 91432 110440 114290 182864 220880 228580 260789 457160 521578 914320 1043156 1303945 2086312 2607890 2868679 4172624 5215780 5737358 10431560 11474716 14343395 20863120 22949432 28686790 45898864 57373580 114747160 229494320