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36214284 = 223171671063
BaseRepresentation
bin1000101000100…
…1011000001100
32112010212122210
42022021120030
533232324114
63332110420
7616550001
oct212113014
975125583
1036214284
1119495367
1210165410
13766c692
144b498a8
1532a5259
hex228960c

36214284 has 48 divisors (see below), whose sum is σ = 90091008. Its totient is φ = 11282688.

The previous prime is 36214273. The next prime is 36214303. The reversal of 36214284 is 48241263.

It is a super-2 number, since 2×362142842 = 2622948731265312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33537 + ... + 34599.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 236214284 is an apocalyptic number.

36214284 is a gapful number since it is divisible by the number (34) 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 36214284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045504).

36214284 is an abundant number, since it is smaller than the sum of its proper divisors (53876724).

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

36214284 is a wasteful number, since it uses less digits than its factorization.

36214284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1252 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 36214284 is about 6017.8305060877. The cubic root of 36214284 is about 330.8465683565.

The spelling of 36214284 in words is "thirty-six million, two hundred fourteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 334 501 668 1002 1063 2004 2126 2839 3189 4252 5678 6378 8517 11356 12756 17034 18071 34068 36142 54213 72284 108426 177521 216852 355042 532563 710084 1065126 2130252 3017857 6035714 9053571 12071428 18107142 36214284