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33996228 = 22374779109
BaseRepresentation
bin1000000110101…
…1110111000100
32100222012001120
42001223313010
532200334403
63212353540
7561651240
oct201536704
970865046
1033996228
111820a962
12b4758b0
137073c16
14472d420
152eb7e53
hex206bdc4

33996228 has 96 divisors (see below), whose sum is σ = 94617600. Its totient is φ = 9300096.

The previous prime is 33996227. The next prime is 33996233. The reversal of 33996228 is 82269933.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 33996228.

It is not an unprimeable number, because it can be changed into a prime (33996227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311838 + ... + 311946.

It is an arithmetic number, because the mean of its divisors is an integer number (985600).

Almost surely, 233996228 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 33996228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47308800).

33996228 is an abundant number, since it is smaller than the sum of its proper divisors (60621372).

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

33996228 is a wasteful number, since it uses less digits than its factorization.

33996228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 33996228 is about 5830.6284395423. The cubic root of 33996228 is about 323.9491994732.

The spelling of 33996228 in words is "thirty-three million, nine hundred ninety-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 79 84 94 109 141 158 188 218 237 282 316 327 329 436 474 553 564 654 658 763 948 987 1106 1308 1316 1526 1659 1974 2212 2289 3052 3318 3713 3948 4578 5123 6636 7426 8611 9156 10246 11139 14852 15369 17222 20492 22278 25833 25991 30738 34444 35861 44556 51666 51982 60277 61476 71722 77973 103332 103964 107583 120554 143444 155946 180831 215166 241108 311892 361662 404717 430332 723324 809434 1214151 1618868 2428302 2833019 4856604 5666038 8499057 11332076 16998114 33996228