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2002213200 = 2435213128347
BaseRepresentation
bin111011101010111…
…0101100101010000
312011112111222011110
41313111311211100
513100031310300
6530402213320
7100421350161
oct16725654520
95145458143
102002213200
11938219459
1247a654240
1325ba70850
1414dcb3768
15bab9d550
hex77575950

2002213200 has 120 divisors (see below), whose sum is σ = 6907175968. Its totient is φ = 492848640.

The previous prime is 2002213183. The next prime is 2002213223. The reversal of 2002213200 is 23122002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48574 + ... + 79773.

Almost surely, 22002213200 is an apocalyptic number.

2002213200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002213200 is an abundant number, since it is smaller than the sum of its proper divisors (4904962768).

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

2002213200 is a wasteful number, since it uses less digits than its factorization.

2002213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128381 (or 128370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2002213200 is about 44746.0970365014. The cubic root of 2002213200 is about 1260.3856214500.

Adding to 2002213200 its reverse (23122002), we get a palindrome (2025335202).

The spelling of 2002213200 in words is "two billion, two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 128347 256694 385041 513388 641735 770082 1026776 1283470 1540164 1668511 1925205 2053552 2566940 3080328 3208675 3337022 3850410 5005533 5133880 6160656 6417350 6674044 7700820 8342555 9626025 10011066 10267760 12834700 13348088 15401640 16685110 19252050 20022132 25027665 25669400 26696176 30803280 33370220 38504100 40044264 41712775 50055330 51338800 66740440 77008200 80088528 83425550 100110660 125138325 133480880 154016400 166851100 200221320 250276650 333702200 400442640 500553300 667404400 1001106600 2002213200