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223103094996496 = 24112132261132
BaseRepresentation
bin110010101110100100111100…
…101110011011111000010000
31002020221110002021210021221211
4302232210330232123320100
5213220310114304341441
62110300051422425504
764664444450530441
oct6256447456337020
91066843067707854
10223103094996496
11650a6544926900
1221032a5b132294
1397646bab77a00
143d14366c8d2c8
151abd65445ea81
hexcae93cb9be10

223103094996496 has 135 divisors (see below), whose sum is σ = 514510916457447. Its totient is φ = 93606105415680.

The previous prime is 223103094996461. The next prime is 223103094996577. The reversal of 223103094996496 is 694699490301322.

The square root of 223103094996496 is 14936636.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14795069902096 + 208308025094400 = 3846436^2 + 14432880^2 .

It is a super-3 number, since 3×2231030949964963 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8543742736 + ... + 8543768848.

Almost surely, 2223103094996496 is an apocalyptic number.

223103094996496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

223103094996496 is the 14936636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223103094996496

223103094996496 is an abundant number, since it is smaller than the sum of its proper divisors (291407821460951).

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

223103094996496 is an frugal number, since it uses more digits than its factorization.

223103094996496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52282 (or 26139 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 67.

The spelling of 223103094996496 in words is "two hundred twenty-three trillion, one hundred three billion, ninety-four million, nine hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 242 286 338 484 572 676 968 1144 1352 1573 1859 1936 2288 2704 3146 3718 6292 7436 12584 14872 20449 25168 26113 29744 40898 52226 81796 104452 163592 208904 287243 327184 339469 417808 574486 678938 1148972 1357876 2297944 2715752 3159673 3734159 4413097 4595888 5431504 6319346 7468318 8826194 12638692 14936636 17652388 25277384 29873272 35304776 41075749 48544067 50554768 59746544 70609552 82151498 97088134 164302996 194176268 328605992 388352536 533984737 657211984 681888769 776705072 1067969474 1363777538 2135938948 2727555076 4271877896 5455110152 7500776459 8543755792 8864553997 10910220304 15001552918 17729107994 30003105836 35458215988 60006211672 70916431976 82508541049 97510093967 115239201961 120012423344 141832863952 165017082098 195020187934 230478403922 330034164196 390040375868 460956807844 660068328392 780080751736 921913615688 1072611033637 1267631221571 1320136656784 1560161503472 1843827231376 2145222067274 2535262443142 4290444134548 5070524886284 8580888269096 10141049772568 13943943437281 17161776538192 20282099545136 27887886874562 55775773749124 111551547498248 223103094996496