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204130220 = 225717199431
BaseRepresentation
bin11000010101011…
…00011110101100
3112020002220000112
430022230132230
5404224131340
632131115152
75026035560
oct1412543654
9466086015
10204130220
11a5254068
1258442ab8
13333a2218
141d1796a0
1512dc3065
hexc2ac7ac

204130220 has 96 divisors (see below), whose sum is σ = 522547200. Its totient is φ = 65387520.

The previous prime is 204130219. The next prime is 204130231. The reversal of 204130220 is 22031402.

204130220 is digitally balanced in base 2, 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 204130195 and 204130204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473405 + ... + 473835.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2204130220 is an apocalyptic number.

204130220 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 204130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

204130220 is an abundant number, since it is smaller than the sum of its proper divisors (318416980).

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

204130220 is a wasteful number, since it uses less digits than its factorization.

204130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 204130220 is about 14287.4147416529. The cubic root of 204130220 is about 588.8017623301.

Adding to 204130220 its reverse (22031402), we get a palindrome (226161622).

The spelling of 204130220 in words is "two hundred four million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 199 238 340 398 431 476 595 796 862 995 1190 1393 1724 1990 2155 2380 2786 3017 3383 3980 4310 5572 6034 6766 6965 7327 8620 12068 13532 13930 14654 15085 16915 23681 27860 29308 30170 33830 36635 47362 51289 60340 67660 73270 85769 94724 102578 118405 146540 171538 205156 236810 256445 343076 428845 473620 512890 600383 857690 1025780 1200766 1458073 1715380 2401532 2916146 3001915 5832292 6003830 7290365 10206511 12007660 14580730 20413022 29161460 40826044 51032555 102065110 204130220