Search a number
-
+
33449220 = 2233578849
BaseRepresentation
bin111111110011…
…0010100000100
32022221101201000
41333212110010
532030333340
63152533300
7554212410
oct177462404
968841630
1033449220
1117976992
12b251230
136c11c4c
144629d40
152e0ad30
hex1fe6504

33449220 has 96 divisors (see below), whose sum is σ = 118944000. Its totient is φ = 7644672.

The previous prime is 33449219. The next prime is 33449233. The reversal of 33449220 is 2294433.

It is a happy number.

It is a super-2 number, since 2×334492202 = 2237700637216800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645 + ... + 8204.

It is an arithmetic number, because the mean of its divisors is an integer number (1239000).

Almost surely, 233449220 is an apocalyptic number.

33449220 is a gapful number since it is divisible by the number (30) 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 33449220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59472000).

33449220 is an abundant number, since it is smaller than the sum of its proper divisors (85494780).

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

33449220 is a wasteful number, since it uses less digits than its factorization.

33449220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8874 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33449220 is about 5783.5300638970. The cubic root of 33449220 is about 322.2023213146.

The spelling of 33449220 in words is "thirty-three million, four hundred forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 8849 17698 26547 35396 44245 53094 61943 79641 88490 106188 123886 132735 159282 176980 185829 238923 247772 265470 309715 318564 371658 398205 477846 530940 557487 619430 743316 796410 929145 955692 1114974 1194615 1238860 1592820 1672461 1858290 2229948 2389230 2787435 3344922 3716580 4778460 5574870 6689844 8362305 11149740 16724610 33449220