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82226150409 = 31317124021343
BaseRepresentation
bin100110010010100001…
…1110111110000001001
321212020111000020021010
41030211003313300021
52321344343303114
6101435115434133
75640432514014
oct1144503676011
9255214006233
1082226150409
1131965577907
1213b29455949
1379a53c1190
143da06a237b
152213b53c59
hex13250f7c09

82226150409 has 16 divisors (see below), whose sum is σ = 125013514752. Its totient is φ = 47624195328.

The previous prime is 82226150407. The next prime is 82226150431. The reversal of 82226150409 is 90405162228.

It is not a de Polignac number, because 82226150409 - 21 = 82226150407 is a prime.

It is a super-2 number, since 2×822261504092 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82226150407) 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 15 ways as a sum of consecutive naturals, for example, 62010009 + ... + 62011334.

It is an arithmetic number, because the mean of its divisors is an integer number (7813344672).

Almost surely, 282226150409 is an apocalyptic number.

It is an amenable number.

82226150409 is a deficient number, since it is larger than the sum of its proper divisors (42787364343).

82226150409 is a wasteful number, since it uses less digits than its factorization.

82226150409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124021376.

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 82226150409 in words is "eighty-two billion, two hundred twenty-six million, one hundred fifty thousand, four hundred nine".

Divisors: 1 3 13 17 39 51 221 663 124021343 372064029 1612277459 2108362831 4836832377 6325088493 27408716803 82226150409