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36224361 = 334143761
BaseRepresentation
bin1000101000101…
…1110101101001
32112011101111000
42022023311221
533233134421
63332225213
7616621245
oct212136551
975141430
1036224361
11194a1998
121016b209
137674144
144b4d425
1532a8226
hex228bd69

36224361 has 32 divisors (see below), whose sum is σ = 56327040. Its totient is φ = 22982400.

The previous prime is 36224327. The next prime is 36224381. The reversal of 36224361 is 16342263.

36224361 is a `hidden beast` number, since 3 + 622 + 4 + 36 + 1 = 666.

36224361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36224361 - 210 = 36223337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36224311) by changing a digit.

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, 47221 + ... + 47981.

It is an arithmetic number, because the mean of its divisors is an integer number (1760220).

Almost surely, 236224361 is an apocalyptic number.

It is an amenable number.

36224361 is a deficient number, since it is larger than the sum of its proper divisors (20102679).

36224361 is a wasteful number, since it uses less digits than its factorization.

36224361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 848 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 36224361 is about 6018.6677097178. The cubic root of 36224361 is about 330.8772526733.

It can be divided in two parts, 36224 and 361, that added together give a triangular number (36585 = T270).

The spelling of 36224361 in words is "thirty-six million, two hundred twenty-four thousand, three hundred sixty-one".

Divisors: 1 3 9 27 41 43 123 129 369 387 761 1107 1161 1763 2283 5289 6849 15867 20547 31201 32723 47601 93603 98169 280809 294507 842427 883521 1341643 4024929 12074787 36224361