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84352266 = 23417109281
BaseRepresentation
bin1010000011100…
…01110100001010
312212201112120000
411001301310022
5133043233031
612211543430
72042660655
oct501616412
9185645500
1084352266
1143684119
12242bab76
13146253ab
14b2ba89c
1576133e6
hex5071d0a

84352266 has 80 divisors (see below), whose sum is σ = 202684680. Its totient is φ = 26127360.

The previous prime is 84352237. The next prime is 84352277. The reversal of 84352266 is 66225348.

It can be written as a sum of positive squares in 4 ways, for example, as 84107241 + 245025 = 9171^2 + 495^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84352266.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 300046 + ... + 300326.

Almost surely, 284352266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84352266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101342340).

84352266 is an abundant number, since it is smaller than the sum of its proper divisors (118332414).

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

84352266 is a wasteful number, since it uses less digits than its factorization.

84352266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 84352266 is about 9184.3489698508. The cubic root of 84352266 is about 438.5632648265.

It can be divided in two parts, 8435 and 2266, that added together give a palindrome (10701).

The spelling of 84352266 in words is "eighty-four million, three hundred fifty-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 109 153 162 218 281 306 327 459 562 654 843 918 981 1377 1686 1853 1962 2529 2754 2943 3706 4777 5058 5559 5886 7587 8829 9554 11118 14331 15174 16677 17658 22761 28662 30629 33354 42993 45522 50031 61258 85986 91887 100062 128979 150093 183774 257958 275661 300186 386937 520693 551322 773874 826983 1041386 1562079 1653966 2480949 3124158 4686237 4961898 9372474 14058711 28117422 42176133 84352266