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202043220225 = 352721110945853
BaseRepresentation
bin1011110000101010110…
…1101110000100000001
3201022111201222000201120
42330022231232010001
511302241031021400
6232452315222453
720411551015200
oct2741255560401
9638451860646
10202043220225
1178760148860
12331a7a47a29
131608b719a22
149ac95cb237
1553c7a22ca0
hex2f0ab6e101

202043220225 has 144 divisors (see below), whose sum is σ = 427806815040. Its totient is φ = 83193868800.

The previous prime is 202043220209. The next prime is 202043220359. The reversal of 202043220225 is 522022340202.

It is not a de Polignac number, because 202043220225 - 24 = 202043220209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202043220195 and 202043220204.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4383399 + ... + 4429251.

It is an arithmetic number, because the mean of its divisors is an integer number (2970880660).

Almost surely, 2202043220225 is an apocalyptic number.

202043220225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

202043220225 is an abundant number, since it is smaller than the sum of its proper divisors (225763594815).

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

202043220225 is a wasteful number, since it uses less digits than its factorization.

202043220225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46000 (or 45988 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 202043220225 its reverse (522022340202), we get a palindrome (724065560427).

The spelling of 202043220225 in words is "two hundred two billion, forty-three million, two hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 109 147 165 175 231 245 275 327 385 525 539 545 735 763 825 1155 1199 1225 1617 1635 1925 2289 2695 2725 3597 3675 3815 5341 5775 5995 8085 8175 8393 11445 13475 16023 17985 19075 25179 26705 29975 40425 41965 45853 57225 58751 80115 89925 125895 133525 137559 176253 209825 229265 293755 320971 400575 504383 629475 687795 881265 962913 1146325 1468775 1513149 1604855 2246797 2521915 3438975 3530681 4406325 4814565 4997977 6740391 7565745 8024275 10592043 11233985 12609575 14993931 17653405 24072825 24714767 24989885 33701955 34985839 37828725 52960215 54977747 56169925 74144301 74969655 88267025 104957517 123573835 124949425 164933241 168509775 174929195 244900873 264801075 274888735 370721505 374848275 384844229 524787585 617869175 734702619 824666205 874645975 1154532687 1224504365 1374443675 1853607525 1924221145 2623937925 2693909603 3673513095 4123331025 5772663435 6122521825 8081728809 9621105725 13469548015 18367565475 28863317175 40408644045 67347740075 202043220225