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223054441368 = 2331159127112759
BaseRepresentation
bin1100111110111100010…
…1001010101110011000
3210022202001021122121020
43033233011022232120
512123303414110433
6250245250442440
722054332316533
oct3175705125630
9708661248536
10223054441368
1186662465230
1237290593420
1318059760165
14ab1dd01a1a
155c07439cb3
hex33ef14ab98

223054441368 has 128 divisors (see below), whose sum is σ = 623517696000. Its totient is φ = 65922837120.

The previous prime is 223054441361. The next prime is 223054441387. The reversal of 223054441368 is 863144450322.

It is a super-2 number, since 2×2230544413682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223054441361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1921773 + ... + 2034531.

It is an arithmetic number, because the mean of its divisors is an integer number (4871232000).

Almost surely, 2223054441368 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 223054441368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311758848000).

223054441368 is an abundant number, since it is smaller than the sum of its proper divisors (400463254632).

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

223054441368 is a wasteful number, since it uses less digits than its factorization.

223054441368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112965 (or 112961 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 223054441368 in words is "two hundred twenty-three billion, fifty-four million, four hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 127 132 177 236 254 264 354 381 472 508 649 708 762 1016 1298 1397 1416 1524 1947 2596 2794 3048 3894 4191 5192 5588 7493 7788 8382 11176 14986 15576 16764 22479 29972 33528 44958 59944 82423 89916 112759 164846 179832 225518 247269 329692 338277 451036 494538 659384 676554 902072 989076 1240349 1353108 1978152 2480698 2706216 3721047 4961396 6652781 7442094 9922792 13305562 14320393 14884188 19958343 26611124 28640786 29768376 39916686 42961179 53222248 57281572 73180591 79833372 85922358 114563144 146361182 157524323 159666744 171844716 219541773 292722364 315048646 343689432 439083546 472572969 585444728 630097292 844903187 878167092 945145938 1260194584 1689806374 1756334184 1890291876 2534709561 3379612748 3780583752 5069419122 6759225496 9293935057 10138838244 18587870114 20277676488 27881805171 37175740228 55763610342 74351480456 111527220684 223054441368