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33681228 = 22375167
BaseRepresentation
bin1000000001111…
…0111101001100
32100101011221220
42000132331030
532110244403
63201523340
7556200000
oct200367514
970334856
1033681228
1118015229
12b343550
136c93729
14468a700
152e54953
hex201ef4c

33681228 has 72 divisors (see below), whose sum is σ = 92236032. Its totient is φ = 9565584.

The previous prime is 33681217. The next prime is 33681253. The reversal of 33681228 is 82218633.

It is a super-2 number, since 2×336812282 = 2268850239175968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201601 + ... + 201767.

It is an arithmetic number, because the mean of its divisors is an integer number (1281056).

Almost surely, 233681228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33681228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46118016).

33681228 is an abundant number, since it is smaller than the sum of its proper divisors (58554804).

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

33681228 is an equidigital number, since it uses as much as digits as its factorization.

33681228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 33681228 is about 5803.5530496412. The cubic root of 33681228 is about 322.9455508611.

The spelling of 33681228 in words is "thirty-three million, six hundred eighty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 167 196 294 334 343 501 588 668 686 1002 1029 1169 1372 2004 2058 2338 2401 3507 4116 4676 4802 7014 7203 8183 9604 14028 14406 16366 16807 24549 28812 32732 33614 49098 50421 57281 67228 98196 100842 114562 171843 201684 229124 343686 400967 687372 801934 1202901 1603868 2405802 2806769 4811604 5613538 8420307 11227076 16840614 33681228