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224241008672 = 259728632
BaseRepresentation
bin1101000011010111001…
…1100100000000100000
3210102210202000111221102
43100311303210000200
512133221144234142
6251003115013532
722125621060452
oct3206563440040
9712722014842
10224241008672
118711122686a
1237561a3a2a8
13181b85304a5
14abd37362d2
155c766c0532
hex3435ce4020

224241008672 has 54 divisors (see below), whose sum is σ = 446590174653. Its totient is φ = 110836042752.

The previous prime is 224241008671. The next prime is 224241008681. The reversal of 224241008672 is 276800142422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224241008672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 223657109776 + 583898896 = 472924^2 + 24164^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334844.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224241008671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 259838513 + ... + 259839375.

Almost surely, 2224241008672 is an apocalyptic number.

It is an amenable number.

224241008672 is a deficient number, since it is larger than the sum of its proper divisors (222349165981).

224241008672 is an frugal number, since it uses more digits than its factorization.

224241008672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 224241008672 in words is "two hundred twenty-four billion, two hundred forty-one million, eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 97 194 388 776 863 1552 1726 3104 3452 6904 9409 13808 18818 27616 37636 75272 83711 150544 167422 301088 334844 669688 744769 1339376 1489538 2678752 2979076 5958152 8119967 11916304 16239934 23832608 32479868 64959736 72242593 129919472 144485186 259838944 288970372 577940744 1155881488 2311762976 7007531521 14015063042 28030126084 56060252168 112120504336 224241008672