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2213003300 = 2252376779113
BaseRepresentation
bin1000001111100111…
…1100000000100100
312201020011012211012
42003321330000210
514013012101200
61003332201352
7105561134444
oct20371740044
95636135735
102213003300
11a36201152
12519169258
13293635211
1416dca4124
15ce439a35
hex83e7c024

2213003300 has 144 divisors (see below), whose sum is σ = 5113839360. Its totient is φ = 830269440.

The previous prime is 2213003281. The next prime is 2213003341. The reversal of 2213003300 is 33003122.

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 47 ways as a sum of consecutive naturals, for example, 19584044 + ... + 19584156.

Almost surely, 22213003300 is an apocalyptic number.

2213003300 is a gapful number since it is divisible by the number (20) 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 2213003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556919680).

2213003300 is an abundant number, since it is smaller than the sum of its proper divisors (2900836060).

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

2213003300 is a wasteful number, since it uses less digits than its factorization.

2213003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2213003300 is about 47042.5690199844. The cubic root of 2213003300 is about 1303.1488362165.

Adding to 2213003300 its reverse (33003122), we get a palindrome (2246006422).

The spelling of 2213003300 in words is "two billion, two hundred thirteen million, three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 67 74 79 100 113 134 148 158 185 226 268 316 335 370 395 452 565 670 740 790 925 1130 1340 1580 1675 1850 1975 2260 2479 2825 2923 3350 3700 3950 4181 4958 5293 5650 5846 6700 7571 7900 8362 8927 9916 10586 11300 11692 12395 14615 15142 16724 17854 20905 21172 24790 26465 29230 30284 35708 37855 41810 44635 49580 52930 58460 61975 73075 75710 83620 89270 104525 105860 123950 132325 146150 151420 178540 189275 195841 209050 223175 247900 264650 280127 292300 330299 378550 391682 418100 446350 529300 560254 598109 660598 757100 783364 892700 979205 1120508 1196218 1321196 1400635 1651495 1958410 2392436 2801270 2990545 3302990 3916820 4896025 5602540 5981090 6605980 7003175 8257475 9792050 11962180 14006350 14952725 16514950 19584100 22130033 28012700 29905450 33029900 44260066 59810900 88520132 110650165 221300330 442600660 553250825 1106501650 2213003300