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223140013104 = 243194121292803
BaseRepresentation
bin1100111111010000101…
…1100110010000110000
3210022222000022010221210
43033310023212100300
512123442320404404
6250301544520120
722056421550031
oct3176413462060
9708860263853
10223140013104
11866a67a1578
12372b5180040
13180713c1618
14ab2b418a88
155c0ebde689
hex33f42e6430

223140013104 has 160 divisors (see below), whose sum is σ = 622097683200. Its totient is φ = 68689797120.

The previous prime is 223140013097. The next prime is 223140013127. The reversal of 223140013104 is 401310041322.

It is a super-3 number, since 3×2231400131043 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79606167 + ... + 79608969.

It is an arithmetic number, because the mean of its divisors is an integer number (3888110520).

Almost surely, 2223140013104 is an apocalyptic number.

223140013104 is a gapful number since it is divisible by the number (24) 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 223140013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311048841600).

223140013104 is an abundant number, since it is smaller than the sum of its proper divisors (398957670096).

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

223140013104 is a wasteful number, since it uses less digits than its factorization.

223140013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 223140013104 its reverse (401310041322), we get a palindrome (624450054426).

The spelling of 223140013104 in words is "two hundred twenty-three billion, one hundred forty million, thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1558 1968 2129 2337 2803 3116 4258 4674 5606 6232 6387 8409 8516 9348 11212 12464 12774 16818 17032 18696 22424 25548 33636 34064 37392 40451 44848 51096 53257 67272 80902 87289 102192 106514 114923 121353 134544 159771 161804 174578 213028 229846 242706 261867 319542 323608 344769 349156 426056 459692 485412 523734 639084 647216 689538 698312 852112 919384 970824 1047468 1278168 1379076 1396624 1658491 1838768 1941648 2094936 2183537 2556336 2758152 3316982 4189872 4367074 4975473 5516304 5967587 6550611 6633964 8734148 9950946 11935174 13101222 13267928 17468296 17902761 19901892 23870348 26202444 26535856 34936592 35805522 39803784 47740696 52404888 71611044 79607568 95481392 104809776 113384153 143222088 226768306 244671067 286444176 340152459 453536612 489342134 680304918 734013201 907073224 978684268 1360609836 1468026402 1814146448 1957368536 2721219672 2936052804 3914737072 4648750273 5442439344 5872105608 9297500546 11744211216 13946250819 18595001092 27892501638 37190002184 55785003276 74380004368 111570006552 223140013104