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225060133560 = 233547233171263
BaseRepresentation
bin1101000110011010100…
…0010001101010111000
3210111220211100101001020
43101212220101222320
512141410343233220
6251220255422440
722155125366613
oct3214650215270
9714824311036
10225060133560
11874a163a489
1237750224a20
13182b914b382
14ac7043d17a
155cc3574040
hex3466a11ab8

225060133560 has 128 divisors (see below), whose sum is σ = 692509409280. Its totient is φ = 58486658048.

The previous prime is 225060133483. The next prime is 225060133601. The reversal of 225060133560 is 65331060522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1228489 + ... + 1399751.

It is an arithmetic number, because the mean of its divisors is an integer number (5410229760).

Almost surely, 2225060133560 is an apocalyptic number.

225060133560 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 225060133560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346254704640).

225060133560 is an abundant number, since it is smaller than the sum of its proper divisors (467449275720).

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

225060133560 is a wasteful number, since it uses less digits than its factorization.

225060133560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171557 (or 171553 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 225060133560 in words is "two hundred twenty-five billion, sixty million, one hundred thirty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 233 235 282 376 466 470 564 699 705 932 940 1128 1165 1398 1410 1864 1880 2330 2796 2820 3495 4660 5592 5640 6990 9320 10951 13980 21902 27960 32853 43804 54755 65706 87608 109510 131412 164265 171263 219020 262824 328530 342526 438040 513789 657060 685052 856315 1027578 1314120 1370104 1712630 2055156 2568945 3425260 4110312 5137890 6850520 8049361 10275780 16098722 20551560 24148083 32197444 39904279 40246805 48296166 64394888 79808558 80493610 96592332 119712837 120740415 159617116 160987220 193184664 199521395 239425674 241480830 319234232 321974440 399042790 478851348 482961660 598564185 798085580 957702696 965923320 1197128370 1596171160 1875501113 2394256740 3751002226 4788513480 5626503339 7502004452 9377505565 11253006678 15004008904 18755011130 22506013356 28132516695 37510022260 45012026712 56265033390 75020044520 112530066780 225060133560