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223444243104 = 25347284317419
BaseRepresentation
bin1101000000011001010…
…0001001001010100000
3210100202012202122001120
43100012110021022200
512130103211234404
6250352053332240
722100104504665
oct3200624111240
9710665678046
10223444243104
11868424a5025
123737b037080
13180bc440884
14ab599ada6c
155c2b7869d9
hex34065092a0

223444243104 has 96 divisors (see below), whose sum is σ = 599265838080. Its totient is φ = 72866879232.

The previous prime is 223444243081. The next prime is 223444243111. The reversal of 223444243104 is 401342444322.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12818907 + ... + 12836325.

It is an arithmetic number, because the mean of its divisors is an integer number (6242352480).

Almost surely, 2223444243104 is an apocalyptic number.

223444243104 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 223444243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299632919040).

223444243104 is an abundant number, since it is smaller than the sum of its proper divisors (375821594976).

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

223444243104 is a wasteful number, since it uses less digits than its factorization.

223444243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20322 (or 20314 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 223444243104 its reverse (401342444322), we get a palindrome (624786687426).

The spelling of 223444243104 in words is "two hundred twenty-three billion, four hundred forty-four million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 2843 4512 5686 8529 11372 17058 17419 22744 34116 34838 45488 52257 68232 69676 90976 104514 133621 136464 139352 209028 267242 272928 278704 400863 418056 534484 557408 801726 818693 836112 1068968 1603452 1637386 1672224 2137936 2456079 3206904 3274772 4275872 4912158 6413808 6549544 9824316 12827616 13099088 19648632 26198176 39297264 49522217 78594528 99044434 148566651 198088868 297133302 396177736 594266604 792355472 1188533208 1584710944 2327544199 2377066416 4655088398 4754132832 6982632597 9310176796 13965265194 18620353592 27930530388 37240707184 55861060776 74481414368 111722121552 223444243104