[go: up one dir, main page]

Search a number
-
+
36221310 = 2335134153
BaseRepresentation
bin1000101000101…
…1000101111110
32112011020022000
42022023011332
533233040220
63332203130
7616606326
oct212130576
975136260
1036221310
111949a674
12101694a6
137672938
144b4c286
1532a7390
hex228b17e

36221310 has 32 divisors (see below), whose sum is σ = 96590880. Its totient is φ = 9658944.

The previous prime is 36221303. The next prime is 36221329. The reversal of 36221310 is 1312263.

36221310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×362213102 = 2623966596232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 66807 + ... + 67346.

It is an arithmetic number, because the mean of its divisors is an integer number (3018465).

Almost surely, 236221310 is an apocalyptic number.

36221310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36221310 is an abundant number, since it is smaller than the sum of its proper divisors (60369570).

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

36221310 is a wasteful number, since it uses less digits than its factorization.

36221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134169 (or 134163 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36221310 is about 6018.4142429713. The cubic root of 36221310 is about 330.8679630239.

Adding to 36221310 its reverse (1312263), we get a palindrome (37533573).

The spelling of 36221310 in words is "thirty-six million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 134153 268306 402459 670765 804918 1207377 1341530 2012295 2414754 3622131 4024590 6036885 7244262 12073770 18110655 36221310