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224026759712 = 2572119532
BaseRepresentation
bin1101000010100100001…
…0010001001000100000
3210102020210212112121202
43100221002101020200
512132301322302322
6250525542540332
722120410016100
oct3205102211040
9712223775552
10224026759712
11870112a1408
12375021376a8
1318183027662
14abb30c5200
155c6299e292
hex3429091220

224026759712 has 54 divisors (see below), whose sum is σ = 513104211333. Its totient is φ = 96003436032.

The previous prime is 224026759711. The next prime is 224026759717. The reversal of 224026759712 is 217957620422.

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 2 ways, for example, as 177507171856 + 46519587856 = 421316^2 + 215684^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334684.

It is not an unprimeable number, because it can be changed into a prime (224026759711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18736328 + ... + 18748280.

Almost surely, 2224026759712 is an apocalyptic number.

It is an amenable number.

224026759712 is an abundant number, since it is smaller than the sum of its proper divisors (289077451621).

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

224026759712 is an frugal number, since it uses more digits than its factorization.

224026759712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23930 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 224026759712 in words is "two hundred twenty-four billion, twenty-six million, seven hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 11953 23906 47812 83671 95624 167342 191248 334684 382496 585697 669368 1171394 1338736 2342788 2677472 4685576 9371152 18742304 142874209 285748418 571496836 1000119463 1142993672 2000238926 2285987344 4000477852 4571974688 7000836241 8000955704 14001672482 16001911408 28003344964 32003822816 56006689928 112013379856 224026759712