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220349672320 = 275344296363
BaseRepresentation
bin1100110100110111011…
…1010010101110000000
3210001202112210010222211
43031031313102232000
512102234004003240
6245121030111504
721630320211511
oct3151567225600
9701675703884
10220349672320
11854a4711208
12368567ab594
1317a18296abb
14a9449caa08
155ae9c61bea
hex334ddd2b80

220349672320 has 32 divisors (see below), whose sum is σ = 526773436920. Its totient is φ = 88139868672.

The previous prime is 220349672317. The next prime is 220349672329. The reversal of 220349672320 is 23276943022.

220349672320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220349672329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172147542 + ... + 172148821.

Almost surely, 2220349672320 is an apocalyptic number.

220349672320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220349672320 is an abundant number, since it is smaller than the sum of its proper divisors (306423764600).

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

220349672320 is an equidigital number, since it uses as much as digits as its factorization.

220349672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344296382 (or 344296370 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 220349672320 in words is "two hundred twenty billion, three hundred forty-nine million, six hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 344296363 688592726 1377185452 1721481815 2754370904 3442963630 5508741808 6885927260 11017483616 13771854520 22034967232 27543709040 44069934464 55087418080 110174836160 220349672320