Search a number
-
+
223449205504 = 2871723318907
BaseRepresentation
bin1101000000011010011…
…1000100101100000000
3210100202120002202012011
43100012213010230000
512130110444034004
6250352351542304
722100164623430
oct3200647045400
9710676082164
10223449205504
1186845284388
123738082a994
13180c048a4c5
14ab5a5022c0
155c2be17004
hex34069c4b00

223449205504 has 144 divisors (see below), whose sum is σ = 563196630528. Its totient is φ = 86211772416.

The previous prime is 223449205477. The next prime is 223449205517. The reversal of 223449205504 is 405502944322.

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 15 ways as a sum of consecutive naturals, for example, 541219 + ... + 860125.

It is an arithmetic number, because the mean of its divisors is an integer number (3911087712).

Almost surely, 2223449205504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223449205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281598315264).

223449205504 is an abundant number, since it is smaller than the sum of its proper divisors (339747425024).

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

223449205504 is a wasteful number, since it uses less digits than its factorization.

223449205504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318970 (or 318956 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 223449205504 in words is "two hundred twenty-three billion, four hundred forty-nine million, two hundred five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 92 112 119 128 136 161 184 224 238 256 272 322 368 391 448 476 544 644 736 782 896 952 1088 1288 1472 1564 1792 1904 2176 2576 2737 2944 3128 3808 4352 5152 5474 5888 6256 7616 10304 10948 12512 15232 20608 21896 25024 30464 41216 43792 50048 87584 100096 175168 318907 350336 637814 700672 1275628 2232349 2551256 4464698 5102512 5421419 7334861 8929396 10205024 10842838 14669722 17858792 20410048 21685676 29339444 35717584 37949933 40820096 43371352 51344027 58678888 71435168 75899866 81640192 86742704 102688054 117357776 124692637 142870336 151799732 173485408 205376108 234715552 249385274 285740672 303599464 346970816 410752216 469431104 498770548 571481344 607198928 693941632 821504432 872848459 938862208 997541096 1214397856 1387883264 1643008864 1745696918 1877724416 1995082192 2428795712 3286017728 3491393836 3990164384 4857591424 6572035456 6982787672 7980328768 9715182848 13144070912 13965575344 15960657536 27931150688 31921315072 55862301376 111724602752 223449205504