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220444002220 = 225132187734747
BaseRepresentation
bin1100110101001101111…
…1001000011110101100
3210002000010021121021211
43031103133020132230
512102432131032340
6245134240004204
721632544050011
oct3152337103654
9702003247254
10220444002220
118554298a702
1236882300664
1317a319a3800
14a953343708
155b031965ea
hex33537c87ac

220444002220 has 72 divisors (see below), whose sum is σ = 501563334384. Its totient is φ = 81349003008.

The previous prime is 220444002217. The next prime is 220444002277. The reversal of 220444002220 is 22200444022.

It is a happy number.

It is a super-2 number, since 2×2204440022202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220444002191 and 220444002200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6326887 + ... + 6361633.

It is an arithmetic number, because the mean of its divisors is an integer number (6966157422).

Almost surely, 2220444002220 is an apocalyptic number.

220444002220 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 220444002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250781667192).

220444002220 is an abundant number, since it is smaller than the sum of its proper divisors (281119332164).

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

220444002220 is a wasteful number, since it uses less digits than its factorization.

220444002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36659 (or 36644 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 220444002220 its reverse (22200444022), we get a palindrome (242644446242).

The spelling of 220444002220 in words is "two hundred twenty billion, four hundred forty-four million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 1877 3380 3754 7508 9385 18770 24401 34747 37540 48802 69494 97604 122005 138988 173735 244010 317213 347470 451711 488020 634426 694940 903422 1268852 1586065 1806844 2258555 3172130 4517110 5872243 6344260 9034220 11744486 23488972 29361215 58722430 65220119 117444860 130440238 260880476 326100595 652201190 847861547 1304402380 1695723094 3391446188 4239307735 8478615470 11022200111 16957230940 22044400222 44088800444 55111000555 110222001110 220444002220