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220341243332 = 227229151256723
BaseRepresentation
bin1100110100110101011…
…1001000110111000100
3210001201221220220121002
43031031113020313010
512102224324241312
6245120125312432
721630155444300
oct3151527106704
9701657826532
10220341243332
118549a984401
1236853a05718
1317a16605332
14a943834d00
155ae91494c2
hex334d5c8dc4

220341243332 has 72 divisors (see below), whose sum is σ = 467093914560. Its totient is φ = 90571521600.

The previous prime is 220341243329. The next prime is 220341243337. The reversal of 220341243332 is 233342143022.

220341243332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 220341243295 and 220341243304.

It is not an unprimeable number, because it can be changed into a prime (220341243337) 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 23 ways as a sum of consecutive naturals, for example, 729923 + ... + 986645.

It is an arithmetic number, because the mean of its divisors is an integer number (6487415480).

Almost surely, 2220341243332 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 220341243332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233546957280).

220341243332 is an abundant number, since it is smaller than the sum of its proper divisors (246752671228).

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

220341243332 is a wasteful number, since it uses less digits than its factorization.

220341243332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256921 (or 256912 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 220341243332 its reverse (233342143022), we get a palindrome (453683386354).

The spelling of 220341243332 in words is "two hundred twenty billion, three hundred forty-one million, two hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 151 196 203 302 406 604 812 1057 1421 2114 2842 4228 4379 5684 7399 8758 14798 17516 29596 30653 61306 122612 214571 256723 429142 513446 858284 1026892 1797061 3594122 7188244 7444967 12579427 14889934 25158854 29779868 38765173 50317708 52114769 77530346 104229538 155060692 208459076 271356211 364803383 542712422 729606766 1085424844 1124190017 1459213532 1899493477 2248380034 3798986954 4496760068 7597973908 7869330119 15738660238 31477320476 55085310833 110170621666 220341243332