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224041104 = 24327474729
BaseRepresentation
bin11010101101010…
…01100010010000
3120121120110121200
431112221202100
5424323303404
634121551200
75360214030
oct1526514220
9517513550
10224041104
11105513441
1263045500
1337553c01
1421a7d8c0
1514a07839
hexd5a9890

224041104 has 120 divisors (see below), whose sum is σ = 731976960. Its totient is φ = 62636544.

The previous prime is 224041063. The next prime is 224041109. The reversal of 224041104 is 401140422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (224041109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45012 + ... + 49740.

It is an arithmetic number, because the mean of its divisors is an integer number (6099808).

Almost surely, 2224041104 is an apocalyptic number.

224041104 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 224041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365988480).

224041104 is an abundant number, since it is smaller than the sum of its proper divisors (507935856).

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

224041104 is a wasteful number, since it uses less digits than its factorization.

224041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 224041104 is about 14968.0026723675. The cubic root of 224041104 is about 607.3549397083.

Adding to 224041104 its reverse (401140422), we get a palindrome (625181526).

The spelling of 224041104 in words is "two hundred twenty-four million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1316 1692 1974 2256 2632 2961 3384 3948 4729 5264 5922 6768 7896 9458 11844 14187 15792 18916 23688 28374 33103 37832 42561 47376 56748 66206 75664 85122 99309 113496 132412 170244 198618 222263 226992 264824 297927 340488 397236 444526 529648 595854 666789 680976 794472 889052 1191708 1333578 1555841 1588944 1778104 2000367 2383416 2667156 3111682 3556208 4000734 4667523 4766832 5334312 6223364 8001468 9335046 10668624 12446728 14002569 16002936 18670092 24893456 28005138 32005872 37340184 56010276 74680368 112020552 224041104