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204553111224 = 233711287938447
BaseRepresentation
bin1011111010000001010…
…0001100011010111000
3201112222122202200220110
42332200110030122320
511322411044024344
6233545335024320
720531005520520
oct2764024143270
9645878680813
10204553111224
1179828998040
123378850b0a0
131639b700227
149c86a94680
1554c30543b9
hex2fa050c6b8

204553111224 has 128 divisors (see below), whose sum is σ = 637806182400. Its totient is φ = 53110842240.

The previous prime is 204553111223. The next prime is 204553111261. The reversal of 204553111224 is 422111355402.

It is a super-2 number, since 2×2045531112242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204553111191 and 204553111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204553111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5301169 + ... + 5339615.

It is an arithmetic number, because the mean of its divisors is an integer number (4982860800).

Almost surely, 2204553111224 is an apocalyptic number.

204553111224 is a gapful number since it is divisible by the number (24) 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 204553111224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318903091200).

204553111224 is an abundant number, since it is smaller than the sum of its proper divisors (433253071176).

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

204553111224 is a wasteful number, since it uses less digits than its factorization.

204553111224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41353 (or 41349 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 204553111224 its reverse (422111355402), we get a palindrome (626664466626).

The spelling of 204553111224 in words is "two hundred four billion, five hundred fifty-three million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2879 5758 8637 11516 17274 20153 23032 31669 34548 38447 40306 60459 63338 69096 76894 80612 95007 115341 120918 126676 153788 161224 190014 221683 230682 241836 253352 269129 307576 380028 422917 443366 461364 483672 538258 665049 760056 807387 845834 886732 922728 1076516 1268751 1330098 1614774 1691668 1773464 2153032 2537502 2660196 2960419 3229548 3383336 5075004 5320392 5920838 6459096 8881257 10150008 11841676 17762514 23683352 35525028 71050056 110688913 221377826 332066739 442755652 664133478 774822391 885511304 1217578043 1328266956 1549644782 2324467173 2435156086 2656533912 3099289564 3652734129 4648934346 4870312172 6198579128 7305468258 8523046301 9297868692 9740624344 14610936516 17046092602 18595737384 25569138903 29221873032 34092185204 51138277806 68184370408 102276555612 204553111224