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228194820 = 22345720123
BaseRepresentation
bin11011001100111…
…11101000000100
3120220101111110000
431212133220010
5431404213240
634351001300
75440424010
oct1546375004
9526344400
10228194820
111078a0167
1264509230
1338379729
1422441540
1515078430
hexd99fa04

228194820 has 120 divisors (see below), whose sum is σ = 818161344. Its totient is φ = 52156224.

The previous prime is 228194819. The next prime is 228194849. The reversal of 228194820 is 28491822.

228194820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1279 + ... + 21401.

Almost surely, 2228194820 is an apocalyptic number.

228194820 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 228194820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409080672).

228194820 is an abundant number, since it is smaller than the sum of its proper divisors (589966524).

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

228194820 is a wasteful number, since it uses less digits than its factorization.

228194820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20151 (or 20140 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 228194820 is about 15106.1186278938. The cubic root of 228194820 is about 611.0854274850.

The spelling of 228194820 in words is "two hundred twenty-eight million, one hundred ninety-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 20123 40246 60369 80492 100615 120738 140861 181107 201230 241476 281722 301845 362214 402460 422583 543321 563444 603690 704305 724428 845166 905535 1086642 1207380 1267749 1408610 1629963 1690332 1811070 2112915 2173284 2535498 2716605 2817220 3259926 3622140 3803247 4225830 5070996 5433210 6338745 6519852 7606494 8149815 8451660 10866420 11409741 12677490 15212988 16299630 19016235 22819482 25354980 32599260 38032470 45638964 57048705 76064940 114097410 228194820