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204304200 = 233521632089
BaseRepresentation
bin11000010110101…
…10111101001000
3112020102201200020
430023112331020
5404300213300
632134540440
75030362032
oct1413267510
9466381606
10204304200
11a5362851
1258507720
1333433479
141d1c2c52
1512e098a0
hexc2d6f48

204304200 has 96 divisors (see below), whose sum is σ = 637533600. Its totient is φ = 54120960.

The previous prime is 204304171. The next prime is 204304237. The reversal of 204304200 is 2403402.

It is a happy number.

204304200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2043042002 = 83480412275280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204304200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96756 + ... + 98844.

It is an arithmetic number, because the mean of its divisors is an integer number (6640975).

Almost surely, 2204304200 is an apocalyptic number.

204304200 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 204304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318766800).

204304200 is an abundant number, since it is smaller than the sum of its proper divisors (433229400).

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

204304200 is a wasteful number, since it uses less digits than its factorization.

204304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 204304200 is about 14293.5020201489. The cubic root of 204304200 is about 588.9689932302.

Adding to 204304200 its reverse (2403402), we get a palindrome (206707602).

The spelling of 204304200 in words is "two hundred four million, three hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 489 600 652 815 978 1304 1630 1956 2089 2445 3260 3912 4075 4178 4890 6267 6520 8150 8356 9780 10445 12225 12534 16300 16712 19560 20890 24450 25068 31335 32600 41780 48900 50136 52225 62670 83560 97800 104450 125340 156675 208900 250680 313350 340507 417800 626700 681014 1021521 1253400 1362028 1702535 2043042 2724056 3405070 4086084 5107605 6810140 8172168 8512675 10215210 13620280 17025350 20430420 25538025 34050700 40860840 51076050 68101400 102152100 204304200