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200110222000 = 24531359312979
BaseRepresentation
bin1011101001011101111…
…1111010101010110000
3201010112000200112122201
42322113133322222300
511234311204101000
6231532424312544
720312626551643
oct2722737725260
9633460615581
10200110222000
1177959004667
1232948612754
1315b411015b0
1499849b3a5a
155312e9796a
hex2e977faab0

200110222000 has 160 divisors (see below), whose sum is σ = 522005964480. Its totient is φ = 73756569600.

The previous prime is 200110221973. The next prime is 200110222021. The reversal of 200110222000 is 222011002.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15411511 + ... + 15424489.

It is an arithmetic number, because the mean of its divisors is an integer number (3262537278).

Almost surely, 2200110222000 is an apocalyptic number.

200110222000 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 200110222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261002982240).

200110222000 is an abundant number, since it is smaller than the sum of its proper divisors (321895742480).

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

200110222000 is a wasteful number, since it uses less digits than its factorization.

200110222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 13592 counting only the distinct ones).

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

Adding to 200110222000 its reverse (222011002), we get a palindrome (200332233002).

The spelling of 200110222000 in words is "two hundred billion, one hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 593 650 1000 1040 1186 1300 1625 2000 2372 2600 2965 3250 4744 5200 5930 6500 7709 9488 11860 12979 13000 14825 15418 23720 25958 26000 29650 30836 38545 47440 51916 59300 61672 64895 74125 77090 103832 118600 123344 129790 148250 154180 168727 192725 207664 237200 259580 296500 308360 324475 337454 385450 519160 593000 616720 648950 674908 770900 843635 963625 1038320 1186000 1297900 1349816 1541800 1622375 1687270 1927250 2595800 2699632 3083600 3244750 3374540 3854500 4218175 5191600 6489500 6749080 7696547 7709000 8436350 12979000 13498160 15393094 15418000 16872700 21090875 25958000 30786188 33745400 38482735 42181750 61572376 67490800 76965470 84363500 100055111 123144752 153930940 168727000 192413675 200110222 307861880 337454000 384827350 400220444 500275555 615723760 769654700 800440888 962068375 1000551110 1539309400 1600881776 1924136750 2001102220 2501377775 3078618800 3848273500 4002204440 5002755550 7696547000 8004408880 10005511100 12506888875 15393094000 20011022200 25013777750 40022044400 50027555500 100055111000 200110222000