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204215000 = 2354114779
BaseRepresentation
bin11000010110000…
…01001011011000
3112020021012022112
430023001023120
5404234340000
632133011452
75026541003
oct1413011330
9466235275
10204215000
11a5301830
1258483b88
13334019a2
141d19c53a
1512ddd235
hexc2c12d8

204215000 has 160 divisors (see below), whose sum is σ = 539827200. Its totient is φ = 71760000.

The previous prime is 204214993. The next prime is 204215009. The reversal of 204215000 is 512402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204215009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2584961 + ... + 2585039.

It is an arithmetic number, because the mean of its divisors is an integer number (3373920).

Almost surely, 2204215000 is an apocalyptic number.

204215000 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 204215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269913600).

204215000 is an abundant number, since it is smaller than the sum of its proper divisors (335612200).

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

204215000 is a wasteful number, since it uses less digits than its factorization.

204215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 204215000 is about 14290.3813804951. The cubic root of 204215000 is about 588.8832653762.

Adding to 204215000 its reverse (512402), we get a palindrome (204727402).

The spelling of 204215000 in words is "two hundred four million, two hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 79 88 94 100 110 125 158 188 200 220 235 250 275 316 376 395 440 470 500 517 550 625 632 790 869 940 1000 1034 1100 1175 1250 1375 1580 1738 1880 1975 2068 2200 2350 2500 2585 2750 3160 3476 3713 3950 4136 4345 4700 5000 5170 5500 5875 6875 6952 7426 7900 8690 9400 9875 10340 11000 11750 12925 13750 14852 15800 17380 18565 19750 20680 21725 23500 25850 27500 29375 29704 34760 37130 39500 40843 43450 47000 49375 51700 55000 58750 64625 74260 79000 81686 86900 92825 98750 103400 108625 117500 129250 148520 163372 173800 185650 197500 204215 217250 235000 258500 323125 326744 371300 395000 408430 434500 464125 517000 543125 646250 742600 816860 869000 928250 1021075 1086250 1292500 1633720 1856500 2042150 2172500 2320625 2585000 3713000 4084300 4345000 4641250 5105375 8168600 9282500 10210750 18565000 20421500 25526875 40843000 51053750 102107500 204215000