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89234000622 = 23313285911383
BaseRepresentation
bin101001100011011000…
…0101100101011101110
322112022212111220112000
41103012300230223232
52430222401004442
6104554334153130
76306205330134
oct1230660545356
9275285456460
1089234000622
11349312a3458
12153643527a6
138551215300
1444672a3754
1524c3ebdd4c
hex14c6c2caee

89234000622 has 96 divisors (see below), whose sum is σ = 214993670400. Its totient is φ = 27422242848.

The previous prime is 89234000621. The next prime is 89234000623. The reversal of 89234000622 is 22600043298.

89234000622 is a `hidden beast` number, since 8 + 9 + 23 + 4 + 0 + 0 + 0 + 622 = 666.

It is an interprime number because it is at equal distance from previous prime (89234000621) and next prime (89234000623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89234000621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7833543 + ... + 7844925.

It is an arithmetic number, because the mean of its divisors is an integer number (2239517400).

Almost surely, 289234000622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89234000622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107496835200).

89234000622 is an abundant number, since it is smaller than the sum of its proper divisors (125759669778).

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

89234000622 is a wasteful number, since it uses less digits than its factorization.

89234000622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279 (or 12260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 89234000622 in words is "eighty-nine billion, two hundred thirty-four million, six hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 859 1014 1521 1718 2577 3042 4563 5154 7731 9126 11167 11383 15462 22334 22766 23193 33501 34149 46386 67002 68298 100503 102447 145171 147979 201006 204894 290342 295958 301509 307341 435513 443937 603018 614682 871026 887874 1306539 1331811 1923727 2613078 2663622 3847454 3919617 3995433 5771181 7839234 7990866 9777997 11542362 17313543 19555994 29333991 34627086 51940629 58667982 88001973 103881258 127113961 176003946 254227922 264005919 381341883 528011838 762683766 1144025649 1652481493 2288051298 3304962986 3432076947 4957444479 6864153894 9914888958 14872333437 29744666874 44617000311 89234000622