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204215220 = 2232511176067
BaseRepresentation
bin11000010110000…
…01001110110100
3112020021012121200
430023001032310
5404234341340
632133012500
75026541436
oct1413011664
9466235550
10204215220
11a5301a10
1258484130
1333401b11
141d19c656
1512ddd330
hexc2c13b4

204215220 has 144 divisors (see below), whose sum is σ = 715635648. Its totient is φ = 46586880.

The previous prime is 204215189. The next prime is 204215227. The reversal of 204215220 is 22512402.

204215220 is a `hidden beast` number, since 20 + 421 + 5 + 220 = 666.

204215220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204215193 and 204215202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204215227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30627 + ... + 36693.

It is an arithmetic number, because the mean of its divisors is an integer number (4969692).

Almost surely, 2204215220 is an apocalyptic number.

204215220 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 204215220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357817824).

204215220 is an abundant number, since it is smaller than the sum of its proper divisors (511420428).

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

204215220 is a wasteful number, since it uses less digits than its factorization.

204215220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6110 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204215220 is about 14290.3890779782. The cubic root of 204215220 is about 588.8834768433.

Adding to 204215220 its reverse (22512402), we get a palindrome (226727622).

The spelling of 204215220 in words is "two hundred four million, two hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6067 6732 8415 11220 12134 16830 18201 24268 30335 33660 36402 54603 60670 66737 72804 91005 103139 109206 121340 133474 182010 200211 206278 218412 266948 273015 309417 333685 364020 400422 412556 515695 546030 600633 618834 667370 800844 928251 1001055 1031390 1092060 1134529 1201266 1237668 1334740 1547085 1856502 2002110 2062780 2269058 2402532 3003165 3094170 3403587 3713004 4004220 4538116 4641255 5672645 6006330 6188340 6807174 9282510 10210761 11345290 12012660 13614348 17017935 18565020 20421522 22690580 34035870 40843044 51053805 68071740 102107610 204215220