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225064170 = 237541251
BaseRepresentation
bin11010110101000…
…11010011101010
3120200111110000000
431122203103222
5430104023140
634155523430
75402004522
oct1532432352
9520443000
10225064170
11106052051
1263459576
1337821786
1421c68682
1514b5aa30
hexd6a34ea

225064170 has 128 divisors (see below), whose sum is σ = 624879360. Its totient is φ = 58320000.

The previous prime is 225064163. The next prime is 225064171. The reversal of 225064170 is 71460522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225064171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 896545 + ... + 896795.

It is an arithmetic number, because the mean of its divisors is an integer number (4881870).

Almost surely, 2225064170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225064170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312439680).

225064170 is an abundant number, since it is smaller than the sum of its proper divisors (399815190).

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

225064170 is an equidigital number, since it uses as much as digits as its factorization.

225064170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225064170 is about 15002.1388475110. The cubic root of 225064170 is about 608.2780155283.

The spelling of 225064170 in words is "two hundred twenty-five million, sixty-four thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 251 270 369 405 410 486 502 615 729 738 753 810 1107 1215 1230 1255 1458 1506 1845 2187 2214 2259 2430 2510 3321 3645 3690 3765 4374 4518 5535 6642 6777 7290 7530 9963 10291 10935 11070 11295 13554 16605 19926 20331 20582 21870 22590 29889 30873 33210 33885 40662 49815 51455 59778 60993 61746 67770 89667 92619 99630 101655 102910 121986 149445 154365 179334 182979 185238 203310 277857 298890 304965 308730 365958 448335 463095 548937 555714 609930 833571 896670 914895 926190 1097874 1389285 1667142 1829790 2500713 2744685 2778570 4167855 5001426 5489370 7502139 8335710 12503565 15004278 22506417 25007130 37510695 45012834 75021390 112532085 225064170