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22020336 = 2434131307
BaseRepresentation
bin101010000000…
…0000011110000
31112102202020000
41110000003300
521114122321
62103550000
7355112142
oct124000360
945382200
1022020336
1111480228
12745b300
13473cbb0
142cd2c92
151dee826
hex15000f0

22020336 has 100 divisors (see below), whose sum is σ = 68688312. Its totient is φ = 6770304.

The previous prime is 22020319. The next prime is 22020337. The reversal of 22020336 is 63302022.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020337) 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 19 ways as a sum of consecutive naturals, for example, 16195 + ... + 17501.

Almost surely, 222020336 is an apocalyptic number.

22020336 is a gapful number since it is divisible by the number (26) 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 22020336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34344156).

22020336 is an abundant number, since it is smaller than the sum of its proper divisors (46667976).

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

22020336 is a wasteful number, since it uses less digits than its factorization.

22020336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 22020336 is about 4692.5830839741. The cubic root of 22020336 is about 280.2902432525.

Adding to 22020336 its reverse (63302022), we get a palindrome (85322358).

The spelling of 22020336 in words is "twenty-two million, twenty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1307 1404 1872 2106 2614 2808 3921 4212 5228 5616 7842 8424 10456 11763 15684 16848 16991 20912 23526 31368 33982 35289 47052 50973 62736 67964 70578 94104 101946 105867 135928 141156 152919 188208 203892 211734 271856 282312 305838 407784 423468 458757 564624 611676 815568 846936 917514 1223352 1376271 1693872 1835028 2446704 2752542 3670056 5505084 7340112 11010168 22020336