Search a number
-
+
36222354 = 2327714049
BaseRepresentation
bin1000101000101…
…1010110010010
32112011021201200
42022023112102
533233103404
63332212030
7616612350
oct212132622
975137650
1036222354
11194a0433
121016a016
13767325c
144b4c7d0
1532a7839
hex228b592

36222354 has 48 divisors (see below), whose sum is σ = 90979200. Its totient is φ = 10200960.

The previous prime is 36222343. The next prime is 36222391. The reversal of 36222354 is 45322263.

36222354 is a `hidden beast` number, since 3 + 622 + 2 + 35 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 6922 + ... + 10970.

It is an arithmetic number, because the mean of its divisors is an integer number (1895400).

Almost surely, 236222354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36222354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489600).

36222354 is an abundant number, since it is smaller than the sum of its proper divisors (54756846).

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

36222354 is a wasteful number, since it uses less digits than its factorization.

36222354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4132 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 36222354 is about 6018.5009761568. The cubic root of 36222354 is about 330.8711418417.

Subtracting 36222354 from its reverse (45322263), we obtain a palindrome (9099909).

The spelling of 36222354 in words is "thirty-six million, two hundred twenty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2982 4049 4473 8098 8946 12147 24294 28343 36441 56686 72882 85029 170058 255087 287479 510174 574958 862437 1724874 2012353 2587311 4024706 5174622 6037059 12074118 18111177 36222354