Search a number
-
+
3222444225 = 3527111342923
BaseRepresentation
bin1100000000010010…
…1001100011000001
322022120121010110010
43000010221203001
523044421203400
61251432055133
7142566216060
oct30004514301
98276533403
103222444225
111403a93050
1275b2344a9
133c47c9640
14227d8c1d7
1513cd83450
hexc01298c1

3222444225 has 96 divisors (see below), whose sum is σ = 7153542144. Its totient is φ = 1236153600.

The previous prime is 3222444223. The next prime is 3222444259. The reversal of 3222444225 is 5224442223.

It is not a de Polignac number, because 3222444225 - 21 = 3222444223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3222444192 and 3222444201.

It is not an unprimeable number, because it can be changed into a prime (3222444223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53614 + ... + 96536.

It is an arithmetic number, because the mean of its divisors is an integer number (74516064).

Almost surely, 23222444225 is an apocalyptic number.

3222444225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3222444225 is an abundant number, since it is smaller than the sum of its proper divisors (3931097919).

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

3222444225 is a wasteful number, since it uses less digits than its factorization.

3222444225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42967 (or 42962 counting only the distinct ones).

The product of its digits is 30720, while the sum is 30.

The square root of 3222444225 is about 56766.5766538727. The cubic root of 3222444225 is about 1477.0497939768.

Adding to 3222444225 its reverse (5224442223), we get a palindrome (8446886448).

The spelling of 3222444225 in words is "three billion, two hundred twenty-two million, four hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 21 25 33 35 39 55 65 75 77 91 105 143 165 175 195 231 273 275 325 385 429 455 525 715 825 975 1001 1155 1365 1925 2145 2275 3003 3575 5005 5775 6825 10725 15015 25025 42923 75075 128769 214615 300461 472153 557999 643845 901383 1073075 1416459 1502305 1673997 2360765 2789995 3219225 3305071 3905993 4506915 6137989 7082295 7511525 8369985 9915213 11717979 11803825 13949975 16525355 18413967 19529965 22534575 30689945 35411475 41849925 42965923 49576065 58589895 82626775 92069835 97649825 128897769 153449725 214829615 247880325 292949475 460349175 644488845 1074148075 3222444225