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2254044225200 = 2452151307121559
BaseRepresentation
bin100000110011001111100…
…000010101111010110000
321222111002012212122002212
4200303033200111322300
5243412240310201300
64443254342231252
7321564213534605
oct40631740257260
97874065778085
102254044225200
11799a31225309
12304a22a25528
1313472b45a711
147b14c4486ac
153d975da5935
hex20ccf815eb0

2254044225200 has 120 divisors (see below), whose sum is σ = 5469005794560. Its totient is φ = 892721952000.

The previous prime is 2254044225163. The next prime is 2254044225211. The reversal of 2254044225200 is 25224404522.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18482021 + ... + 18603579.

It is an arithmetic number, because the mean of its divisors is an integer number (45575048288).

Almost surely, 22254044225200 is an apocalyptic number.

2254044225200 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 2254044225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734502897280).

2254044225200 is an abundant number, since it is smaller than the sum of its proper divisors (3214961569360).

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

2254044225200 is a wasteful number, since it uses less digits than its factorization.

2254044225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122035 (or 122024 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 32.

Adding to 2254044225200 its reverse (25224404522), we get a palindrome (2279268629722).

The spelling of 2254044225200 in words is "two trillion, two hundred fifty-four billion, forty-four million, two hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 151 200 302 307 400 604 614 755 1208 1228 1510 1535 2416 2456 3020 3070 3775 4912 6040 6140 7550 7675 12080 12280 15100 15350 24560 30200 30700 46357 60400 61400 92714 121559 122800 185428 231785 243118 370856 463570 486236 607795 741712 927140 972472 1158925 1215590 1854280 1944944 2317850 2431180 3038975 3708560 4635700 4862360 6077950 9271400 9724720 12155900 18355409 18542800 24311800 36710818 37318613 48623600 73421636 74637226 91777045 146843272 149274452 183554090 186593065 293686544 298548904 367108180 373186130 458885225 597097808 734216360 746372260 917770450 932965325 1468432720 1492744520 1835540900 1865930650 2985489040 3671081800 3731861300 5635110563 7342163600 7463722600 11270221126 14927445200 22540442252 28175552815 45080884504 56351105630 90161769008 112702211260 140877764075 225404422520 281755528150 450808845040 563511056300 1127022112600 2254044225200