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2212102000 = 245347101233
BaseRepresentation
bin1000001111011001…
…1111111101110000
312201011110102110201
42003312133331300
514012244231000
61003301004544
7105550361653
oct20366377560
95634412421
102212102000
11a35745a79
125189b3754
132933aabc4
1416db0b89a
15ce30c96a
hex83d9ff70

2212102000 has 160 divisors (see below), whose sum is σ = 5540431104. Its totient is φ = 853760000.

The previous prime is 2212101971. The next prime is 2212102021. The reversal of 2212102000 is 2012122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9493884 + ... + 9494116.

Almost surely, 22212102000 is an apocalyptic number.

2212102000 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 2212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770215552).

2212102000 is an abundant number, since it is smaller than the sum of its proper divisors (3328329104).

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

2212102000 is a wasteful number, since it uses less digits than its factorization.

2212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2212102000 is about 47032.9884230207. The cubic root of 2212102000 is about 1302.9718990600.

Adding to 2212102000 its reverse (2012122), we get a palindrome (2214114122).

The spelling of 2212102000 in words is "two billion, two hundred twelve million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 101 125 188 200 202 233 235 250 376 400 404 466 470 500 505 752 808 932 940 1000 1010 1165 1175 1616 1864 1880 2000 2020 2330 2350 2525 3728 3760 4040 4660 4700 4747 5050 5825 5875 8080 9320 9400 9494 10100 10951 11650 11750 12625 18640 18800 18988 20200 21902 23300 23500 23533 23735 25250 29125 37976 40400 43804 46600 47000 47066 47470 50500 54755 58250 75952 87608 93200 94000 94132 94940 101000 109510 116500 117665 118675 175216 188264 189880 202000 219020 233000 235330 237350 273775 376528 379760 438040 466000 470660 474700 547550 588325 593375 876080 941320 949400 1095100 1106051 1176650 1186750 1368875 1882640 1898800 2190200 2212102 2353300 2373500 2737750 2941625 4380400 4424204 4706600 4747000 5475500 5530255 5883250 8848408 9413200 9494000 10951000 11060510 11766500 17696816 21902000 22121020 23533000 27651275 44242040 47066000 55302550 88484080 110605100 138256375 221210200 276512750 442420400 553025500 1106051000 2212102000