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225971910 = 233541137149
BaseRepresentation
bin11010111100000…
…00111011000110
3120202012120012000
431132000323012
5430322100120
634231210130
75412505143
oct1536007306
9522176160
10225971910
1110661204a
1263816946
1337a7b9b8
14220233ca
1514c89990
hexd780ec6

225971910 has 128 divisors (see below), whose sum is σ = 625968000. Its totient is φ = 57968640.

The previous prime is 225971897. The next prime is 225971929. The reversal of 225971910 is 19179522.

225971910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1516516 + ... + 1516664.

It is an arithmetic number, because the mean of its divisors is an integer number (4890375).

Almost surely, 2225971910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225971910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312984000).

225971910 is an abundant number, since it is smaller than the sum of its proper divisors (399996090).

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

225971910 is a wasteful number, since it uses less digits than its factorization.

225971910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 225971910 is about 15032.3620898380. The cubic root of 225971910 is about 609.0946975942.

The spelling of 225971910 in words is "two hundred twenty-five million, nine hundred seventy-one thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 137 149 205 246 270 274 298 369 410 411 447 615 685 738 745 822 894 1107 1230 1233 1341 1370 1490 1845 2055 2214 2235 2466 2682 3690 3699 4023 4110 4470 5535 5617 6109 6165 6705 7398 8046 11070 11234 12218 12330 13410 16851 18327 18495 20115 20413 28085 30545 33702 36654 36990 40230 40826 50553 54981 56170 61090 61239 84255 91635 101106 102065 109962 122478 151659 164943 168510 183270 183717 204130 252765 274905 303318 306195 329886 367434 505530 549810 551151 612390 758295 824715 836933 918585 1102302 1516590 1649430 1673866 1837170 2510799 2755755 4184665 5021598 5511510 7532397 8369330 12553995 15064794 22597191 25107990 37661985 45194382 75323970 112985955 225971910