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223433230544000 = 275313964576909
BaseRepresentation
bin110010110011011000011010…
…010101100110110010000000
31002022010000020000001202021222
4302303120122111212302000
5213241212224004402000
62111111450433134212
765030342512426151
oct6263303225466200
91068100200052258
10223433230544000
1165213556827a64
1221086a349ba368
13978988117a219
143d26324441928
151ac70275bea85
hexcb361a566c80

223433230544000 has 64 divisors (see below), whose sum is σ = 555510869479800. Its totient is φ = 89373292211200.

The previous prime is 223433230543997. The next prime is 223433230544003. The reversal of 223433230544000 is 445032334322.

It is an interprime number because it is at equal distance from previous prime (223433230543997) and next prime (223433230544003).

It can be written as a sum of positive squares in 4 ways, for example, as 59467664094784 + 163965566449216 = 7711528^2 + 12804904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2234332305440002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223433230544003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6982272455 + ... + 6982304454.

Almost surely, 2223433230544000 is an apocalyptic number.

223433230544000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223433230544000 is an abundant number, since it is smaller than the sum of its proper divisors (332077638935800).

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

223433230544000 is an equidigital number, since it uses as much as digits as its factorization.

223433230544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13964576938 (or 13964576916 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 35.

Adding to 223433230544000 its reverse (445032334322), we get a palindrome (223878262878322).

The spelling of 223433230544000 in words is "two hundred twenty-three trillion, four hundred thirty-three billion, two hundred thirty million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 13964576909 27929153818 55858307636 69822884545 111716615272 139645769090 223433230544 279291538180 349114422725 446866461088 558583076360 698228845450 893732922176 1117166152720 1396457690900 1745572113625 1787465844352 2234332305440 2792915381800 3491144227250 4468664610880 5585830763600 6982288454500 8937329221760 11171661527200 13964576909000 22343323054400 27929153818000 44686646108800 55858307636000 111716615272000 223433230544000