Search a number
-
+
36223146 = 2332923131
BaseRepresentation
bin1000101000101…
…1100010101010
32112011022211000
42022023202222
533233120041
63332215430
7616614561
oct212134252
975138730
1036223146
11194a0a93
121016a576
13767371b
144b4cbd8
1532a7bb6
hex228b8aa

36223146 has 32 divisors (see below), whose sum is σ = 83275200. Its totient is φ = 11657520.

The previous prime is 36223133. The next prime is 36223153. The reversal of 36223146 is 64132263.

36223146 is a `hidden beast` number, since 3 + 622 + 31 + 4 + 6 = 666.

It is a super-2 number, since 2×362231462 = 2624232612274632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 10000 + ... + 13131.

It is an arithmetic number, because the mean of its divisors is an integer number (2602350).

Almost surely, 236223146 is an apocalyptic number.

36223146 is an abundant number, since it is smaller than the sum of its proper divisors (47052054).

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

36223146 is a wasteful number, since it uses less digits than its factorization.

36223146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23171 (or 23165 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 36223146 is about 6018.5667729120. The cubic root of 36223146 is about 330.8735533179.

The spelling of 36223146 in words is "thirty-six million, two hundred twenty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 23131 46262 69393 138786 208179 416358 624537 670799 1249074 1341598 2012397 4024794 6037191 12074382 18111573 36223146