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225608572096 = 26239710714767
BaseRepresentation
bin1101001000011101010…
…0011001110011000000
3210120100001022221021121
43102013110121303000
512144021243301341
6251350530402024
722204535136025
oct3220724316300
9716301287247
10225608572096
1187753180476
1237883a30314
1318375962c0b
14acc320354c
155d067a94d1
hex3487519cc0

225608572096 has 112 divisors (see below), whose sum is σ = 476416152576. Its totient is φ = 105782206464.

The previous prime is 225608572081. The next prime is 225608572103. The reversal of 225608572096 is 690275806522.

225608572096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15270505 + ... + 15285271.

It is an arithmetic number, because the mean of its divisors is an integer number (4253715648).

Almost surely, 2225608572096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225608572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238208076288).

225608572096 is an abundant number, since it is smaller than the sum of its proper divisors (250807580480).

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

225608572096 is a wasteful number, since it uses less digits than its factorization.

225608572096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006 (or 14996 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 225608572096 in words is "two hundred twenty-five billion, six hundred eight million, five hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 107 184 194 214 368 388 428 736 776 856 1472 1552 1712 2231 2461 3104 3424 4462 4922 6208 6848 8924 9844 10379 14767 17848 19688 20758 29534 35696 39376 41516 59068 71392 78752 83032 118136 142784 157504 166064 236272 238717 332128 339641 472544 477434 664256 679282 945088 954868 1358564 1432399 1580069 1909736 2717128 2864798 3160138 3819472 5434256 5729596 6320276 7638944 10868512 11459192 12640552 15277888 21737024 22918384 25281104 32945177 36341587 45836768 50562208 65890354 72683174 91673536 101124416 131780708 145366348 153266693 263561416 290732696 306533386 527122832 581465392 613066772 1054245664 1162930784 1226133544 2108491328 2325861568 2452267088 3525133939 4904534176 7050267878 9809068352 14100535756 28201071512 56402143024 112804286048 225608572096