Search a number
-
+
36213156 = 2234722281
BaseRepresentation
bin1000101000100…
…1000110100100
32112010211010000
42022021012210
533232310111
63332101300
7616543500
oct212110644
975124100
1036213156
1119494531
1210164830
13766c005
144b49300
1532a4c56
hex22891a4

36213156 has 90 divisors (see below), whose sum is σ = 110172678. Its totient is φ = 10342080.

The previous prime is 36213143. The next prime is 36213167. The reversal of 36213156 is 65131263.

36213156 is a `hidden beast` number, since 3 + 621 + 31 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32148900 + 4064256 = 5670^2 + 2016^2 .

It is a super-2 number, since 2×362131562 = 2622785334960672, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14736 + ... + 17016.

Almost surely, 236213156 is an apocalyptic number.

36213156 is a gapful number since it is divisible by the number (36) 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 36213156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55086339).

36213156 is an abundant number, since it is smaller than the sum of its proper divisors (73959522).

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

36213156 is a wasteful number, since it uses less digits than its factorization.

36213156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2293 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 36213156 is about 6017.7367838748. The cubic root of 36213156 is about 330.8431332589.

The spelling of 36213156 in words is "thirty-six million, two hundred thirteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2281 2646 3969 4562 5292 6843 7938 9124 13686 15876 15967 20529 27372 31934 41058 47901 61587 63868 82116 95802 111769 123174 143703 184761 191604 223538 246348 287406 335307 369522 431109 447076 574812 670614 739044 862218 1005921 1293327 1341228 1724436 2011842 2586654 3017763 4023684 5173308 6035526 9053289 12071052 18106578 36213156