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223130704392 = 233217923112
BaseRepresentation
bin1100111111001110100…
…0000101101000001000
3210022221100210012210200
43033303220011220020
512123432430020032
6250301013212200
722056246456651
oct3176350055010
9708840705720
10223130704392
11866a1513822
12372b2031060
131806c4b25cb
14ab2a0b4528
155c0dea147c
hex33f3a05a08

223130704392 has 108 divisors (see below), whose sum is σ = 609667557135. Its totient is φ = 73723570080.

The previous prime is 223130704361. The next prime is 223130704399. The reversal of 223130704392 is 293407031322.

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.

223130704392 is a `hidden beast` number, since 2 + 23 + 130 + 70 + 439 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111565352196 + 111565352196 = 334014^2 + 334014^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334014.

It is a super-3 number, since 3×2231307043923 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (223130704399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 717461917 + ... + 717462227.

Almost surely, 2223130704392 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 223130704392

223130704392 is an abundant number, since it is smaller than the sum of its proper divisors (386536852743).

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

223130704392 is an equidigital number, since it uses as much as digits as its factorization.

223130704392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 223130704392 in words is "two hundred twenty-three billion, one hundred thirty million, seven hundred four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 311 358 537 622 716 933 1074 1244 1432 1611 1866 2148 2488 2799 3222 3732 4296 5598 6444 7464 11196 12888 22392 32041 55669 64082 96123 96721 111338 128164 167007 192246 193442 222676 256328 288369 290163 334014 384492 386884 445352 501021 576738 580326 668028 768984 773768 870489 1002042 1153476 1160652 1336056 1740978 2004084 2306952 2321304 3481956 4008168 6963912 9964751 17313059 19929502 29894253 34626118 39859004 51939177 59788506 69252236 79718008 89682759 103878354 119577012 138504472 155817531 179365518 207756708 239154024 311635062 358731036 415513416 623270124 717462072 1246540248 3099037561 6198075122 9297112683 12396150244 18594225366 24792300488 27891338049 37188450732 55782676098 74376901464 111565352196 223130704392