Search a number
-
+
225022212456 = 23347712809687
BaseRepresentation
bin1101000110010001011…
…1100111100101101000
3210111211011222210001220
43101210113213211220
512141321141244311
6251212422542040
722154155150506
oct3214427474550
9714734883056
10225022212456
1187482199828
123773b597920
13182b1331b52
14ac693ab676
155cc0083206
hex34645e7968

225022212456 has 64 divisors (see below), whose sum is σ = 582616903680. Its totient is φ = 72377511360.

The previous prime is 225022212451. The next prime is 225022212491. The reversal of 225022212456 is 654212220522.

225022212456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225022212451) 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 15 ways as a sum of consecutive naturals, for example, 1324756 + ... + 1484931.

It is an arithmetic number, because the mean of its divisors is an integer number (9103389120).

Almost surely, 2225022212456 is an apocalyptic number.

It is an amenable number.

225022212456 is an abundant number, since it is smaller than the sum of its proper divisors (357594691224).

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

225022212456 is a wasteful number, since it uses less digits than its factorization.

225022212456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809814 (or 2809810 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 225022212456 its reverse (654212220522), we get a palindrome (879234432978).

The spelling of 225022212456 in words is "two hundred twenty-five billion, twenty-two million, two hundred twelve thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 141 142 188 213 282 284 376 426 564 568 852 1128 1704 3337 6674 10011 13348 20022 26696 40044 80088 2809687 5619374 8429061 11238748 16858122 22477496 33716244 67432488 132055289 199487777 264110578 396165867 398975554 528221156 598463331 792331734 797951108 1056442312 1196926662 1584663468 1595902216 2393853324 3169326936 4787706648 9375925519 18751851038 28127776557 37503702076 56255553114 75007404152 112511106228 225022212456