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36222048 = 2532173727
BaseRepresentation
bin1000101000101…
…1010001100000
32112011021022100
42022023101200
533233101143
63332210400
7616611432
oct212132140
975137270
1036222048
11194a0185
1210169a00
137673085
144b4c652
1532a76d3
hex228b460

36222048 has 72 divisors (see below), whose sum is σ = 103744368. Its totient is φ = 11987712.

The previous prime is 36222029. The next prime is 36222071. The reversal of 36222048 is 84022263.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×362220482 = 2624073522628608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49461 + ... + 50187.

It is an arithmetic number, because the mean of its divisors is an integer number (1440894).

Almost surely, 236222048 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 36222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51872184).

36222048 is an abundant number, since it is smaller than the sum of its proper divisors (67522320).

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

36222048 is a wasteful number, since it uses less digits than its factorization.

36222048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 36222048 is about 6018.4755544905. The cubic root of 36222048 is about 330.8702101255.

The spelling of 36222048 in words is "thirty-six million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 727 1038 1384 1454 1557 2076 2181 2768 2908 3114 4152 4362 5536 5816 6228 6543 8304 8724 11632 12456 13086 16608 17448 23264 24912 26172 34896 49824 52344 69792 104688 125771 209376 251542 377313 503084 754626 1006168 1131939 1509252 2012336 2263878 3018504 4024672 4527756 6037008 9055512 12074016 18111024 36222048