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224605104 = 2434799559
BaseRepresentation
bin11010110001100…
…11001110110000
3120122122010021120
431120303032300
5424444330404
634142022240
75365053243
oct1530631660
9518563246
10224605104
11105869159
1263277980
13376c0839
1421b8925a
1514ab99d9
hexd6333b0

224605104 has 40 divisors (see below), whose sum is σ = 592581120. Its totient is φ = 73274688.

The previous prime is 224605103. The next prime is 224605123. The reversal of 224605104 is 401506422.

224605104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (224605103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47524 + ... + 52035.

It is an arithmetic number, because the mean of its divisors is an integer number (14814528).

Almost surely, 2224605104 is an apocalyptic number.

224605104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224605104 is an abundant number, since it is smaller than the sum of its proper divisors (367976016).

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

224605104 is a wasteful number, since it uses less digits than its factorization.

224605104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99617 (or 99611 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 224605104 is about 14986.8310192649. The cubic root of 224605104 is about 607.8641634447.

The spelling of 224605104 in words is "two hundred twenty-four million, six hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 99559 199118 298677 398236 597354 796472 1194708 1592944 2389416 4679273 4778832 9358546 14037819 18717092 28075638 37434184 56151276 74868368 112302552 224605104