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36221940 = 22325201233
BaseRepresentation
bin1000101000101…
…1001111110100
32112011021011100
42022023033310
533233100230
63332210100
7616611216
oct212131764
975137140
1036221940
11194a0097
1210169930
137673001
144b4c5b6
1532a7660
hex228b3f4

36221940 has 36 divisors (see below), whose sum is σ = 109873764. Its totient is φ = 9659136.

The previous prime is 36221909. The next prime is 36221959. The reversal of 36221940 is 4912263.

36221940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 8785296 = 5238^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 100437 + ... + 100796.

It is an arithmetic number, because the mean of its divisors is an integer number (3052049).

Almost surely, 236221940 is an apocalyptic number.

36221940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36221940 is an abundant number, since it is smaller than the sum of its proper divisors (73651824).

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

36221940 is a wasteful number, since it uses less digits than its factorization.

36221940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201248 (or 201243 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36221940 is about 6018.4665821121. The cubic root of 36221940 is about 330.8698812833.

The spelling of 36221940 in words is "thirty-six million, two hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 201233 402466 603699 804932 1006165 1207398 1811097 2012330 2414796 3018495 3622194 4024660 6036990 7244388 9055485 12073980 18110970 36221940