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82211269 = 731723613
BaseRepresentation
bin1001110011001…
…11000111000101
312201200202122211
410321213013011
5132021230034
612054023421
72015533000
oct471470705
9181622584
1082211269
11424515a8
1223647b71
1314055a2a
14acc0537
15733dd64
hex4e671c5

82211269 has 32 divisors (see below), whose sum is σ = 106099200. Its totient is φ = 63334656.

The previous prime is 82211267. The next prime is 82211281. The reversal of 82211269 is 96211228.

It is not a de Polignac number, because 82211269 - 21 = 82211267 is a prime.

It is a super-2 number, since 2×822112692 = 13517385501180722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82211269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82211263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133807 + ... + 134419.

It is an arithmetic number, because the mean of its divisors is an integer number (3315600).

Almost surely, 282211269 is an apocalyptic number.

It is an amenable number.

82211269 is a deficient number, since it is larger than the sum of its proper divisors (23887931).

82211269 is a wasteful number, since it uses less digits than its factorization.

82211269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 82211269 is about 9067.0430130225. The cubic root of 82211269 is about 434.8209400876.

The spelling of 82211269 in words is "eighty-two million, two hundred eleven thousand, two hundred sixty-nine".

Divisors: 1 7 17 23 49 119 161 343 391 613 833 1127 2737 4291 5831 7889 10421 14099 19159 30037 72947 98693 134113 210259 239683 510629 690851 1677781 3574403 4835957 11744467 82211269