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223036075664072 = 2311101293379225977
BaseRepresentation
bin110010101101100110100010…
…000011111110001011001000
31002020201001002121002110022122
4302231212202003332023020
5213213210340332222242
62110205205245510412
764656552605564636
oct6255464203761310
91066631077073278
10223036075664072
11650800831a0470
1221021a76572408
13975b29a1062a8
143d1100a08a356
151abba30874ad2
hexcad9a20fe2c8

223036075664072 has 128 divisors (see below), whose sum is σ = 463521373257600. Its totient is φ = 99769307904000.

The previous prime is 223036075664069. The next prime is 223036075664111. The reversal of 223036075664072 is 270466570630322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986872748 + ... + 987098724.

It is an arithmetic number, because the mean of its divisors is an integer number (3621260728575).

Almost surely, 2223036075664072 is an apocalyptic number.

223036075664072 is a gapful number since it is divisible by the number (22) 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 223036075664072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231760686628800).

223036075664072 is an abundant number, since it is smaller than the sum of its proper divisors (240485297593528).

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

223036075664072 is a wasteful number, since it uses less digits than its factorization.

223036075664072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226767 (or 226763 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 53.

The spelling of 223036075664072 in words is "two hundred twenty-three trillion, thirty-six billion, seventy-five million, six hundred sixty-four thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 101 202 293 379 404 586 758 808 1111 1172 1516 2222 2344 3032 3223 4169 4444 6446 8338 8888 12892 16676 25784 29593 33352 38279 59186 76558 111047 118372 153116 222094 225977 236744 306232 325523 421069 444188 451954 651046 842138 888376 903908 1221517 1302092 1684276 1807816 2443034 2485747 2604184 3368552 4886068 4971494 9772136 9942988 11215747 19885976 22431494 22823677 44862988 45647354 66211261 85645283 89725976 91294708 123373217 132422522 171290566 182589416 246746434 251060447 264845044 342581132 493492868 502120894 529690088 685162264 728323871 942098113 986985736 1004241788 1456647742 1884196226 2008483576 2913295484 3768392452 5826590968 6687337361 7536784904 8650173583 13374674722 17300347166 25094067919 26749349444 34600694332 50188135838 53498698888 69201388664 73560710971 95151909413 100376271676 147121421942 190303818826 200752543352 276034747109 294242843884 380607637652 552069494218 588485687768 761215275304 1104138988436 2208277976872 2534500859819 5069001719638 10138003439276 20276006878552 27879509458009 55759018916018 111518037832036 223036075664072