Search a number
-
+
223074593568 = 253492772
BaseRepresentation
bin1100111111000001001…
…0000010101100100000
3210022210110012111020000
43033300102002230200
512123324043443233
6250251250420000
722054665521361
oct3176022025440
9708713174200
10223074593568
1186672879942
1237297291600
1318060997938
14ab22869b68
155c090bad13
hex33f0482b20

223074593568 has 90 divisors (see below), whose sum is σ = 656126909361. Its totient is φ = 74350182528.

The previous prime is 223074593563. The next prime is 223074593569. The reversal of 223074593568 is 865395470322.

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.

223074593568 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 74 + 5 + 9 + 3 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 197445145104 + 25629448464 = 444348^2 + 160092^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333972.

It is a super-3 number, since 3×2230745935683 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (223074593563) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24041346 + ... + 24050622.

Almost surely, 2223074593568 is an apocalyptic number.

It is an amenable number.

223074593568 is an abundant number, since it is smaller than the sum of its proper divisors (433052315793).

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

223074593568 is an frugal number, since it uses more digits than its factorization.

223074593568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18576 (or 9282 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 223074593568 in words is "two hundred twenty-three billion, seventy-four million, five hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 9277 18554 27831 37108 55662 74216 83493 111324 148432 166986 222648 250479 296864 333972 445296 500958 667944 751437 890592 1001916 1335888 1502874 2003832 2671776 3005748 4007664 6011496 8015328 12022992 24045984 86062729 172125458 258188187 344250916 516376374 688501832 774564561 1032752748 1377003664 1549129122 2065505496 2323693683 2754007328 3098258244 4131010992 4647387366 6196516488 6971081049 8262021984 9294774732 12393032976 13942162098 18589549464 24786065952 27884324196 37179098928 55768648392 74358197856 111537296784 223074593568