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204230320 = 24573471051
BaseRepresentation
bin11000010110001…
…00111010110000
3112020021222022221
430023010322300
5404240332240
632133210424
75026633450
oct1413047260
9466258287
10204230320
11a5312298
1258490a14
1333408958
141d1a3d60
1512de2a4a
hexc2c4eb0

204230320 has 80 divisors (see below), whose sum is σ = 544750848. Its totient is φ = 69753600.

The previous prime is 204230291. The next prime is 204230339. The reversal of 204230320 is 23032402.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 204230294 and 204230303.

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, 193795 + ... + 194845.

Almost surely, 2204230320 is an apocalyptic number.

204230320 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 204230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272375424).

204230320 is an abundant number, since it is smaller than the sum of its proper divisors (340520528).

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

204230320 is a wasteful number, since it uses less digits than its factorization.

204230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 204230320 is about 14290.9173953249. The cubic root of 204230320 is about 588.8979908143.

Adding to 204230320 its reverse (23032402), we get a palindrome (227262722).

The spelling of 204230320 in words is "two hundred four million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 347 560 694 1051 1388 1735 2102 2429 2776 3470 4204 4858 5255 5552 6940 7357 8408 9716 10510 12145 13880 14714 16816 19432 21020 24290 27760 29428 36785 38864 42040 48580 58856 73570 84080 97160 117712 147140 194320 294280 364697 588560 729394 1458788 1823485 2552879 2917576 3646970 5105758 5835152 7293940 10211516 12764395 14587880 20423032 25528790 29175760 40846064 51057580 102115160 204230320