Search a number
-
+
3300223000 = 23531031792
BaseRepresentation
bin1100010010110101…
…0110100000011000
322111222221200212111
43010231112200120
523224324114000
61303251122104
7144532301254
oct30455264030
98458850774
103300223000
111443987428
127812a3334
1340795c999
14234437264
15144ae8cba
hexc4b56818

3300223000 has 96 divisors (see below), whose sum is σ = 7841302560. Its totient is φ = 1299969600.

The previous prime is 3300222983. The next prime is 3300223007. The reversal of 3300223000 is 3220033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300223007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18436911 + ... + 18437089.

It is an arithmetic number, because the mean of its divisors is an integer number (81680235).

Almost surely, 23300223000 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 3300223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920651280).

3300223000 is an abundant number, since it is smaller than the sum of its proper divisors (4541079560).

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

3300223000 is a wasteful number, since it uses less digits than its factorization.

3300223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 3300223000 is about 57447.5673984547. The cubic root of 3300223000 is about 1488.8390879195.

Adding to 3300223000 its reverse (3220033), we get a palindrome (3303443033).

The spelling of 3300223000 in words is "three billion, three hundred million, two hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 179 200 206 250 358 412 500 515 716 824 895 1000 1030 1432 1790 2060 2575 3580 4120 4475 5150 7160 8950 10300 12875 17900 18437 20600 22375 25750 32041 35800 36874 44750 51500 64082 73748 89500 92185 103000 128164 147496 160205 179000 184370 256328 320410 368740 460925 640820 737480 801025 921850 1281640 1602050 1843700 2304625 3204100 3300223 3687400 4005125 4609250 6408200 6600446 8010250 9218500 13200892 16020500 16501115 18437000 26401784 32041000 33002230 66004460 82505575 132008920 165011150 330022300 412527875 660044600 825055750 1650111500 3300223000