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217205613140 = 22510860280657
BaseRepresentation
bin1100101001001001110…
…1101010001001010100
3202202122102200101121112
43022102131222021110
512024314114110030
6243441034034152
721456362151305
oct3122235521124
9682572611545
10217205613140
11841309a6a9a
1236119878958
1317636ab3759
14a7272047ac
1559b3c13a95
hex329276a254

217205613140 has 12 divisors (see below), whose sum is σ = 456131787636. Its totient is φ = 86882245248.

The previous prime is 217205613127. The next prime is 217205613169. The reversal of 217205613140 is 41316502712.

It can be written as a sum of positive squares in 2 ways, for example, as 108940923844 + 108264689296 = 330062^2 + 329036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 217205613097 and 217205613106.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5430140309 + ... + 5430140348.

It is an arithmetic number, because the mean of its divisors is an integer number (38010982303).

Almost surely, 2217205613140 is an apocalyptic number.

217205613140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217205613140 is an abundant number, since it is smaller than the sum of its proper divisors (238926174496).

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

217205613140 is a wasteful number, since it uses less digits than its factorization.

217205613140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860280666 (or 10860280664 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 217205613140 in words is "two hundred seventeen billion, two hundred five million, six hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10860280657 21720561314 43441122628 54301403285 108602806570 217205613140