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224043768 = 233213594057
BaseRepresentation
bin11010101101010…
…10001011111000
3120121120121021100
431112222023320
5424323400033
634122011400
75360224554
oct1526521370
9517517240
10224043768
11105515443
1263046b60
13375551a0
1421a80864
1514a08513
hexd5aa2f8

224043768 has 96 divisors (see below), whose sum is σ = 664700400. Its totient is φ = 67751424.

The previous prime is 224043767. The next prime is 224043797. The reversal of 224043768 is 867340422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224043761) 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, 53196 + ... + 57252.

Almost surely, 2224043768 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 224043768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332350200).

224043768 is an abundant number, since it is smaller than the sum of its proper divisors (440656632).

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

224043768 is a wasteful number, since it uses less digits than its factorization.

224043768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 224043768 is about 14968.0916619321. The cubic root of 224043768 is about 607.3573469855.

The spelling of 224043768 in words is "two hundred twenty-four million, forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 177 234 236 312 354 468 472 531 708 767 936 1062 1416 1534 2124 2301 3068 4057 4248 4602 6136 6903 8114 9204 12171 13806 16228 18408 24342 27612 32456 36513 48684 52741 55224 73026 97368 105482 146052 158223 210964 239363 292104 316446 421928 474669 478726 632892 718089 949338 957452 1265784 1436178 1898676 1914904 2154267 2872356 3111719 3797352 4308534 5744712 6223438 8617068 9335157 12446876 17234136 18670314 24893752 28005471 37340628 56010942 74681256 112021884 224043768