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36222147 = 341341839
BaseRepresentation
bin1000101000101…
…1010011000011
32112011021110000
42022023103003
533233102042
63332211043
7616611633
oct212132303
975137400
1036222147
11194a0265
1210169a83
137673130
144b4c6c3
1532a774c
hex228b4c3

36222147 has 40 divisors (see below), whose sum is σ = 59764320. Its totient is φ = 21720960.

The previous prime is 36222107. The next prime is 36222157. The reversal of 36222147 is 74122263.

It is not a de Polignac number, because 36222147 - 26 = 36222083 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36222147.

It is not an unprimeable number, because it can be changed into a prime (36222107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42754 + ... + 43592.

It is an arithmetic number, because the mean of its divisors is an integer number (1494108).

Almost surely, 236222147 is an apocalyptic number.

36222147 is a deficient number, since it is larger than the sum of its proper divisors (23542173).

36222147 is a wasteful number, since it uses less digits than its factorization.

36222147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 896 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 36222147 is about 6018.4837791590. The cubic root of 36222147 is about 330.8705115637.

The spelling of 36222147 in words is "thirty-six million, two hundred twenty-two thousand, one hundred forty-seven".

Divisors: 1 3 9 13 27 39 41 81 117 123 351 369 533 839 1053 1107 1599 2517 3321 4797 7551 10907 14391 22653 32721 34399 43173 67959 98163 103197 294489 309591 447187 883467 928773 1341561 2786319 4024683 12074049 36222147