Search a number
-
+
225603324440 = 235135965311261
BaseRepresentation
bin1101001000011100000…
…0011000101000011000
3210120022200110022211222
43102013000120220120
512144013422340230
6251350222111212
722204442421524
oct3220700305030
9716280408758
10225603324440
118775021686a
123788211b508
13183748464b0
14acc2638d84
155d060be6e5
hex3487018a18

225603324440 has 128 divisors (see below), whose sum is σ = 556820308800. Its totient is φ = 81755166720.

The previous prime is 225603324433. The next prime is 225603324473. The reversal of 225603324440 is 44423306522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 225603324440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20028410 + ... + 20039670.

Almost surely, 2225603324440 is an apocalyptic number.

225603324440 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 225603324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278410154400).

225603324440 is an abundant number, since it is smaller than the sum of its proper divisors (331216984360).

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

225603324440 is a wasteful number, since it uses less digits than its factorization.

225603324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11993 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

The spelling of 225603324440 in words is "two hundred twenty-five billion, six hundred three million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 472 520 590 653 767 1180 1306 1534 2360 2612 3068 3265 3835 5224 6136 6530 7670 8489 11261 13060 15340 16978 22522 26120 30680 33956 38527 42445 45044 56305 67912 77054 84890 90088 112610 146393 154108 169780 192635 225220 292786 308216 339560 385270 450440 500851 585572 664399 731965 770540 1001702 1171144 1328798 1463930 1541080 2003404 2504255 2657596 2927860 3321995 4006808 5008510 5315192 5855720 6643990 7353433 8637187 10017020 13287980 14706866 17274374 20034040 26575960 29413732 34548748 36767165 43185935 58827464 69097496 73534330 86371870 95594629 147068660 172743740 191189258 294137320 345487480 382378516 433852547 477973145 764757032 867705094 955946290 1735410188 1911892580 2169262735 3470820376 3823785160 4338525470 5640083111 8677050940 11280166222 17354101880 22560332444 28200415555 45120664888 56400831110 112801662220 225603324440