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33222189 = 37111322337
BaseRepresentation
bin111111010111…
…0111000101101
32022111212021110
41332232320231
532001102224
63144022233
7552245460
oct176567055
968455243
1033222189
1117831360
12b161979
136b62800
1445ab2d7
152db3929
hex1faee2d

33222189 has 96 divisors (see below), whose sum is σ = 64088064. Its totient is φ = 14826240.

The previous prime is 33222181. The next prime is 33222191. The reversal of 33222189 is 98122233.

It is a happy number.

It is not a de Polignac number, because 33222189 - 23 = 33222181 is a prime.

It is a super-2 number, since 2×332221892 = 2207427683903442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33222181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897879 + ... + 897915.

It is an arithmetic number, because the mean of its divisors is an integer number (667584).

Almost surely, 233222189 is an apocalyptic number.

33222189 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

33222189 is a deficient number, since it is larger than the sum of its proper divisors (30865875).

33222189 is a wasteful number, since it uses less digits than its factorization.

33222189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 33222189 is about 5763.8692733267. The cubic root of 33222189 is about 321.4717009921.

It can be divided in two parts, 33222 and 189, that added together give a triangular number (33411 = T258).

The spelling of 33222189 in words is "thirty-three million, two hundred twenty-two thousand, one hundred eighty-nine".

Divisors: 1 3 7 11 13 21 23 33 37 39 69 77 91 111 143 161 169 231 253 259 273 299 407 429 481 483 507 759 777 851 897 1001 1183 1221 1443 1771 1859 2093 2553 2849 3003 3289 3367 3549 3887 5291 5313 5577 5957 6253 6279 8547 9361 9867 10101 11063 11661 13013 15873 17871 18759 23023 27209 28083 33189 37037 39039 42757 43771 65527 68783 69069 77441 81627 111111 121693 128271 131313 143819 196581 206349 232323 299299 365079 431457 481481 851851 897897 1006733 1444443 1582009 2555553 3020199 4746027 11074063 33222189