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36126224 = 2417132817
BaseRepresentation
bin1000100111001…
…1111000010000
32111222101212022
42021303320100
533222014344
63330151012
7616032161
oct211637020
974871768
1036126224
1119435192
1210122468
13763b584
144b25768
1532890ee
hex2273e10

36126224 has 20 divisors (see below), whose sum is σ = 74112444. Its totient is φ = 17000448.

The previous prime is 36126187. The next prime is 36126229. The reversal of 36126224 is 42262163.

It can be written as a sum of positive squares in 2 ways, for example, as 16483600 + 19642624 = 4060^2 + 4432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36126193 and 36126202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36126229) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 66137 + ... + 66680.

Almost surely, 236126224 is an apocalyptic number.

36126224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

36126224 is an abundant number, since it is smaller than the sum of its proper divisors (37986220).

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

36126224 is a wasteful number, since it uses less digits than its factorization.

36126224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132842 (or 132836 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 36126224 is about 6010.5094625997. The cubic root of 36126224 is about 330.5781844275.

Adding to 36126224 its reverse (42262163), we get a palindrome (78388387).

The spelling of 36126224 in words is "thirty-six million, one hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 132817 265634 531268 1062536 2125072 2257889 4515778 9031556 18063112 36126224