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36212224 = 29107661
BaseRepresentation
bin1000101000100…
…0111000000000
32112010202211111
42022020320000
533232242344
63332053104
7616540666
oct212107000
975122744
1036212224
1119493864
1210164194
13766b769
144b48c36
1532a4834
hex2288e00

36212224 has 40 divisors (see below), whose sum is σ = 73140408. Its totient is φ = 17909760.

The previous prime is 36212221. The next prime is 36212269. The reversal of 36212224 is 42221263.

It is a super-2 number, since 2×362122242 = 2622650334052352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36212195 and 36212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54454 + ... + 55114.

Almost surely, 236212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36570204).

36212224 is an abundant number, since it is smaller than the sum of its proper divisors (36928184).

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

36212224 is an equidigital number, since it uses as much as digits as its factorization.

36212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 770 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 36212224 is about 6017.6593456260. The cubic root of 36212224 is about 330.8402949861.

Adding to 36212224 its reverse (42221263), we get a palindrome (78433487).

The spelling of 36212224 in words is "thirty-six million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 661 856 1322 1712 2644 3424 5288 6848 10576 13696 21152 27392 42304 54784 70727 84608 141454 169216 282908 338432 565816 1131632 2263264 4526528 9053056 18106112 36212224