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200203448481 = 322923721392
BaseRepresentation
bin1011101001110100001…
…1100011000010100001
3201010202112002221100100
42322131003203002201
511240004040322411
6231545554413013
720315141143161
oct2723503430241
9633675087310
10200203448481
11779a669a043
1232973891169
1315b57512caa
1499931205a1
15531b260456
hex2e9d0e30a1

200203448481 has 81 divisors (see below), whose sum is σ = 310042162521. Its totient is φ = 124481665728.

The previous prime is 200203448443. The next prime is 200203448537. The reversal of 200203448481 is 184844302002.

The square root of 200203448481 is 447441.

It is a perfect power (a square), and thus also a powerful number.

200203448481 is a `hidden beast` number, since 2 + 0 + 0 + 203 + 448 + 4 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42607152225 + 157596296256 = 206415^2 + 396984^2 .

It is not a de Polignac number, because 200203448481 - 217 = 200203317409 is a prime.

It is a super-2 number, since 2×2002034484812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200203448681) 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 80 ways as a sum of consecutive naturals, for example, 1440312510 + ... + 1440312648.

Almost surely, 2200203448481 is an apocalyptic number.

200203448481 is the 447441-st square number.

200203448481 is the 223721-st centered octagonal number.

It is an amenable number.

200203448481 is a deficient number, since it is larger than the sum of its proper divisors (109838714040).

200203448481 is an equidigital number, since it uses as much as digits as its factorization.

200203448481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Multiplying 200203448481 by its sum of digits (36), we get a square (7207324145316 = 26846462).

The spelling of 200203448481 in words is "two hundred billion, two hundred three million, four hundred forty-eight thousand, four hundred eighty-one".

Divisors: 1 3 9 29 37 87 111 139 261 333 417 841 1073 1251 1369 2523 3219 4031 4107 5143 7569 9657 12093 12321 15429 19321 31117 36279 39701 46287 57963 93351 116899 119103 149147 173889 190291 280053 350697 357309 447441 560309 570873 714877 1052091 1151329 1342323 1680927 1712619 2144631 3453987 4325263 5042781 5518439 6433893 10361961 12975789 16248961 16555317 20731433 26450449 38927367 48746883 49665951 62194299 79351347 146240649 160034731 186582897 238054041 480104193 601211557 767063021 1440312579 1803634671 2301189063 5410904013 6903567189 22244827609 66734482827 200203448481