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228280770 = 23257997331
BaseRepresentation
bin11011001101101…
…00100111000010
3120220112212100100
431212310213002
5431414441040
634352503230
75441232414
oct1546644702
9526485310
10228280770
111079497a3
126454ab16
13383a98a3
14224649b4
1515093b30
hexd9b49c2

228280770 has 96 divisors (see below), whose sum is σ = 609073920. Its totient is φ = 59304960.

The previous prime is 228280769. The next prime is 228280781. The reversal of 228280770 is 77082822.

228280770 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2282807702 = 104224219903585800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689505 + ... + 689835.

It is an arithmetic number, because the mean of its divisors is an integer number (6344520).

Almost surely, 2228280770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228280770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304536960).

228280770 is an abundant number, since it is smaller than the sum of its proper divisors (380793150).

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

228280770 is a wasteful number, since it uses less digits than its factorization.

228280770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 228280770 is about 15108.9632337894. The cubic root of 228280770 is about 611.1621400058.

The spelling of 228280770 in words is "two hundred twenty-eight million, two hundred eighty thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 97 158 194 237 291 331 395 474 485 582 662 711 790 873 970 993 1185 1422 1455 1655 1746 1986 2370 2910 2979 3310 3555 4365 4965 5958 7110 7663 8730 9930 14895 15326 22989 26149 29790 32107 38315 45978 52298 64214 68967 76630 78447 96321 114945 130745 137934 156894 160535 192642 229890 235341 261490 288963 321070 344835 392235 470682 481605 577926 689670 784470 963210 1176705 1444815 2353410 2536453 2889630 5072906 7609359 12682265 15218718 22828077 25364530 38046795 45656154 76093590 114140385 228280770