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2011220000 = 2554227443
BaseRepresentation
bin111011111100000…
…1100100000100000
312012011110120011122
41313320030200200
513104333020000
6531323231412
7100561042106
oct16770144040
95164416148
102011220000
11942310399
12481678568
132608a530a
14151179c76
15bb87c085
hex77e0c820

2011220000 has 120 divisors (see below), whose sum is σ = 4980918096. Its totient is φ = 799136000.

The previous prime is 2011219979. The next prime is 2011220009. The reversal of 2011220000 is 221102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2011220000.

It is not an unprimeable number, because it can be changed into a prime (2011220009) 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 19 ways as a sum of consecutive naturals, for example, 4539779 + ... + 4540221.

Almost surely, 22011220000 is an apocalyptic number.

2011220000 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 2011220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490459048).

2011220000 is an abundant number, since it is smaller than the sum of its proper divisors (2969698096).

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

2011220000 is an equidigital number, since it uses as much as digits as its factorization.

2011220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2011220000 is about 44846.6275209184. The cubic root of 2011220000 is about 1262.2727101206.

Adding to 2011220000 its reverse (221102), we get a palindrome (2011441102).

The spelling of 2011220000 in words is "two billion, eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 227 250 400 443 454 500 625 800 886 908 1000 1135 1250 1772 1816 2000 2215 2270 2500 3544 3632 4000 4430 4540 5000 5675 7088 7264 8860 9080 10000 11075 11350 14176 17720 18160 20000 22150 22700 28375 35440 36320 44300 45400 55375 56750 70880 88600 90800 100561 110750 113500 141875 177200 181600 201122 221500 227000 276875 283750 354400 402244 443000 454000 502805 553750 567500 804488 886000 908000 1005610 1107500 1135000 1608976 1772000 2011220 2215000 2270000 2514025 3217952 4022440 4430000 4540000 5028050 8044880 8860000 10056100 12570125 16089760 20112200 25140250 40224400 50280500 62850625 80448800 100561000 125701250 201122000 251402500 402244000 502805000 1005610000 2011220000