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225113579908 = 22725327778233
BaseRepresentation
bin1101000110100111010…
…0001010000110000100
3210112001112220201122121
43101221310022012010
512142013034024113
6251225445135324
722156344600100
oct3215164120604
9715045821577
10225113579908
1187519824518
12377660ba544
13182c7242329
14ac77592900
155cc80cee8d
hex3469d0a184

225113579908 has 72 divisors (see below), whose sum is σ = 468605074392. Its totient is φ = 94313995776.

The previous prime is 225113579903. The next prime is 225113579953. The reversal of 225113579908 is 809975311522.

It can be written as a sum of positive squares in 4 ways, for example, as 27857284 + 225085722624 = 5278^2 + 474432^2 .

It is a super-2 number, since 2×2251135799082 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225113579903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838360 + ... + 2916592.

It is an arithmetic number, because the mean of its divisors is an integer number (6508403811).

Almost surely, 2225113579908 is an apocalyptic number.

225113579908 is a gapful number since it is divisible by the number (28) 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 225113579908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234302537196).

225113579908 is an abundant number, since it is smaller than the sum of its proper divisors (243491494484).

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

225113579908 is a wasteful number, since it uses less digits than its factorization.

225113579908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78581 (or 78572 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 52.

The spelling of 225113579908 in words is "two hundred twenty-five billion, one hundred thirteen million, five hundred seventy-nine thousand, nine hundred eight".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 277 371 554 742 1108 1484 1939 2597 3878 5194 7756 10388 13573 14681 27146 29362 54292 58724 78233 102767 156466 205534 312932 411068 547631 719369 1095262 1438738 2190524 2877476 3833417 4146349 7666834 8292698 15333668 16585396 21670541 29024443 43341082 58048886 86682164 116097772 151693787 203171101 303387574 406342202 606775148 812684404 1061856509 1148538673 2123713018 2297077346 4247426036 4594154692 8039770711 16079541422 32159082844 56278394977 112556789954 225113579908