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220705238349 = 343349381353
BaseRepresentation
bin1100110110001100001…
…1101010110101001101
3210002200022211202220000
43031203003222311031
512104001020111344
6245220211114513
721642165400251
oct3154303526515
9702608752800
10220705238349
1185667398232
12369358a2a39
1317a73b4b5bb
14a979d06261
155b1b099a69
hex33630ead4d

220705238349 has 20 divisors (see below), whose sum is σ = 329709375996. Its totient is φ = 147130623936.

The previous prime is 220705238339. The next prime is 220705238407. The reversal of 220705238349 is 943832507022.

220705238349 is a `hidden beast` number, since 2 + 2 + 0 + 7 + 0 + 523 + 83 + 49 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207020450025 + 13684788324 = 454995^2 + 116982^2 .

It is not a de Polignac number, because 220705238349 - 28 = 220705238093 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220705238329) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2672257 + ... + 2753609.

Almost surely, 2220705238349 is an apocalyptic number.

It is an amenable number.

220705238349 is a deficient number, since it is larger than the sum of its proper divisors (109004137647).

220705238349 is an equidigital number, since it uses as much as digits as its factorization.

220705238349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114858 (or 114849 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 220705238349 in words is "two hundred twenty billion, seven hundred five million, two hundred thirty-eight thousand, three hundred forty-nine".

Divisors: 1 3 9 27 81 33493 81353 100479 244059 301437 732177 904311 2196531 2712933 6589593 2724756029 8174268087 24522804261 73568412783 220705238349