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36122226 = 2372947631
BaseRepresentation
bin1000100111001…
…0111001110010
32111222012101020
42021302321302
533221402401
63330120310
7616014420
oct211627162
974865336
1036122226
1119432188
1210120096
1376397ca
144b24110
153287d36
hex2272e72

36122226 has 64 divisors (see below), whose sum is σ = 87367680. Its totient is φ = 9737280.

The previous prime is 36122201. The next prime is 36122243. The reversal of 36122226 is 62222163.

36122226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×361222262 = 2609630422390152, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36122196 and 36122205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56931 + ... + 57561.

It is an arithmetic number, because the mean of its divisors is an integer number (1365120).

Almost surely, 236122226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36122226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43683840).

36122226 is an abundant number, since it is smaller than the sum of its proper divisors (51245454).

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

36122226 is a wasteful number, since it uses less digits than its factorization.

36122226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719.

The product of its digits is 1728, while the sum is 24.

The square root of 36122226 is about 6010.1768692776. The cubic root of 36122226 is about 330.5659892205.

Adding to 36122226 its reverse (62222163), we get a palindrome (98344389).

The spelling of 36122226 in words is "thirty-six million, one hundred twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 47 58 87 94 141 174 203 282 329 406 609 631 658 987 1218 1262 1363 1893 1974 2726 3786 4089 4417 8178 8834 9541 13251 18299 19082 26502 28623 29657 36598 54897 57246 59314 88971 109794 128093 177942 207599 256186 384279 415198 622797 768558 860053 1245594 1720106 2580159 5160318 6020371 12040742 18061113 36122226