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36122220 = 22335151443
BaseRepresentation
bin1000100111001…
…0111001101100
32111222012101000
42021302321230
533221402340
63330120300
7616014411
oct211627154
974865330
1036122220
1119432182
1210120090
1376397c4
144b24108
153287d30
hex2272e6c

36122220 has 96 divisors (see below), whose sum is σ = 113379840. Its totient is φ = 9547200.

The previous prime is 36122201. The next prime is 36122243. The reversal of 36122220 is 2222163.

36122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 36122193 and 36122202.

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, 81319 + ... + 81761.

It is an arithmetic number, because the mean of its divisors is an integer number (1181040).

Almost surely, 236122220 is an apocalyptic number.

36122220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56689920).

36122220 is an abundant number, since it is smaller than the sum of its proper divisors (77257620).

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

36122220 is a wasteful number, since it uses less digits than its factorization.

36122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36122220 is about 6010.1763701243. The cubic root of 36122220 is about 330.5659709178.

Adding to 36122220 its reverse (2222163), we get a palindrome (38344383).

It can be divided in two parts, 3612 and 2220, that added together give a cube (5832 = 183).

The spelling of 36122220 in words is "thirty-six million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 151 180 270 302 443 453 540 604 755 886 906 1329 1359 1510 1772 1812 2215 2265 2658 2718 3020 3987 4077 4430 4530 5316 5436 6645 6795 7974 8154 8860 9060 11961 13290 13590 15948 16308 19935 20385 23922 26580 27180 39870 40770 47844 59805 66893 79740 81540 119610 133786 200679 239220 267572 334465 401358 602037 668930 802716 1003395 1204074 1337860 1806111 2006790 2408148 3010185 3612222 4013580 6020370 7224444 9030555 12040740 18061110 36122220