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220313002032 = 2433937544273
BaseRepresentation
bin1100110100101110101…
…1011010000000110000
3210001122222210002211000
43031023223122000300
512102200112031112
6245113240122000
721626363422164
oct3151353320060
9701588702730
10220313002032
1185485a45292
1236846466300
1317a107c79c6
14a93dba2ca4
155ae691b7dc
hex334bada030

220313002032 has 80 divisors (see below), whose sum is σ = 633055974880. Its totient is φ = 73359157248.

The previous prime is 220313002031. The next prime is 220313002067. The reversal of 220313002032 is 230200313022.

It is a happy number.

It is a super-2 number, since 2×2203130020322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220313001996 and 220313002014.

It is not an unprimeable number, because it can be changed into a prime (220313002031) 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 15 ways as a sum of consecutive naturals, for example, 132648 + ... + 676920.

It is an arithmetic number, because the mean of its divisors is an integer number (7913199686).

Almost surely, 2220313002032 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 220313002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316527987440).

220313002032 is an abundant number, since it is smaller than the sum of its proper divisors (412742972848).

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

220313002032 is a wasteful number, since it uses less digits than its factorization.

220313002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545227 (or 545215 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220313002032 its reverse (230200313022), we get a palindrome (450513315054).

The spelling of 220313002032 in words is "two hundred twenty billion, three hundred thirteen million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 937 1874 2811 3748 5622 7496 8433 11244 14992 16866 22488 25299 33732 44976 50598 67464 101196 134928 202392 404784 544273 1088546 1632819 2177092 3265638 4354184 4898457 6531276 8708368 9796914 13062552 14695371 19593828 26125104 29390742 39187656 58781484 78375312 117562968 235125936 509983801 1019967602 1529951403 2039935204 3059902806 4079870408 4589854209 6119805612 8159740816 9179708418 12239611224 13769562627 18359416836 24479222448 27539125254 36718833672 55078250508 73437667344 110156501016 220313002032