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220230021220 = 225112613148457
BaseRepresentation
bin1100110100011010111…
…0110111000001100100
3210001110012122020112121
43031012232313001210
512102012341134340
6245101113355324
721624335202466
oct3150656670144
9701405566477
10220230021220
1185443118600
1236822708b44
13179c9562931
14a932b62136
155ade4c994a
hex3346bb7064

220230021220 has 72 divisors (see below), whose sum is σ = 509181842232. Its totient is φ = 79952463360.

The previous prime is 220230021217. The next prime is 220230021229. The reversal of 220230021220 is 22120032022.

220230021220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1303354404 + 218926666816 = 36102^2 + 467896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220230021194 and 220230021203.

It is not an unprimeable number, because it can be changed into a prime (220230021229) 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, 1409232 + ... + 1557688.

It is an arithmetic number, because the mean of its divisors is an integer number (7071970031).

Almost surely, 2220230021220 is an apocalyptic number.

220230021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220230021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254590921116).

220230021220 is an abundant number, since it is smaller than the sum of its proper divisors (288951821012).

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

220230021220 is a wasteful number, since it uses less digits than its factorization.

220230021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149101 (or 149088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 220230021220 its reverse (22120032022), we get a palindrome (242350053242).

The spelling of 220230021220 in words is "two hundred twenty billion, two hundred thirty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 613 1210 1226 2420 2452 3065 6130 6743 12260 13486 26972 33715 67430 74173 134860 148346 148457 296692 296914 370865 593828 741730 742285 1483460 1484570 1633027 2969140 3266054 6532108 8165135 16330270 17963297 32660540 35926594 71853188 89816485 91004141 179632970 182008282 359265940 364016564 455020705 910041410 1001045551 1820082820 2002091102 4004182204 5005227755 10010455510 11011501061 20020911020 22023002122 44046004244 55057505305 110115010610 220230021220