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224424110411104 = 25531491934601507
BaseRepresentation
bin110011000001110011001111…
…011000010100110101100000
31002102121201212010100102102011
4303001303033120110311200
5213403431034231123404
62113151002451402304
765162051445350362
oct6301631730246540
91072551763312364
10224424110411104
116556580466a03a
1221206a905b3394
13982c144b23206
143d5c283520d32
151ae2bbd329604
hexcc1ccf614d60

224424110411104 has 96 divisors (see below), whose sum is σ = 455541009285600. Its totient is φ = 108789320220672.

The previous prime is 224424110411021. The next prime is 224424110411117. The reversal of 224424110411104 is 401114011424422.

It is a happy number.

It is a congruent number.

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, 46471119 + ... + 51072625.

It is an arithmetic number, because the mean of its divisors is an integer number (4745218846725).

Almost surely, 2224424110411104 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 224424110411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227770504642800).

224424110411104 is an abundant number, since it is smaller than the sum of its proper divisors (231116898874496).

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

224424110411104 is a wasteful number, since it uses less digits than its factorization.

224424110411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601912 (or 4601904 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

Adding to 224424110411104 its reverse (401114011424422), we get a palindrome (625538121835526).

The spelling of 224424110411104 in words is "two hundred twenty-four trillion, four hundred twenty-four billion, one hundred ten million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 53 106 149 193 212 298 386 424 596 772 848 1192 1544 1696 2384 3088 4768 6176 7897 10229 15794 20458 28757 31588 40916 57514 63176 81832 115028 126352 163664 230056 252704 327328 460112 920224 1524121 3048242 4601507 6096484 9203014 12192968 18406028 24385936 36812056 48771872 73624112 147248224 243879871 487759742 685624543 888090851 975519484 1371249086 1776181702 1951038968 2742498172 3552363404 3902077936 5484996344 7104726808 7804155872 10969992688 14209453616 21939985376 28418907232 36338100779 47068815103 72676201558 94137630206 132325536799 145352403116 188275260412 264651073598 290704806232 376550520824 529302147196 581409612464 753101041648 1058604294392 1162819224928 1506202083296 2117208588784 4234417177568 7013253450347 14026506900694 28053013801388 56106027602776 112212055205552 224424110411104