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224846815232 = 213134312
BaseRepresentation
bin1101000101100111101…
…0100010000000000000
3210111100221221200022102
43101121322202000000
512140441241041412
6251143155325532
722146625252364
oct3213172420000
9714327850272
10224846815232
11873a2190246
12376b08b08a8
1318283bb0000
14ac4dd912a4
155cae9888c2
hex3459ea2000

224846815232 has 210 divisors, whose sum is σ = 503358058179. Its totient is φ = 100427857920.

The previous prime is 224846815231. The next prime is 224846815241. The reversal of 224846815232 is 232518648422.

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.

It can be written as a sum of positive squares in 3 ways, for example, as 3936256 + 224842878976 = 1984^2 + 474176^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335296.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (224846815231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7253123057 + ... + 7253123087.

Almost surely, 2224846815232 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 224846815232

224846815232 is an abundant number, since it is smaller than the sum of its proper divisors (278511242947).

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

224846815232 is an frugal number, since it uses more digits than its factorization.

224846815232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 46 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 47.

The spelling of 224846815232 in words is "two hundred twenty-four billion, eight hundred forty-six million, eight hundred fifteen thousand, two hundred thirty-two".