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2202030001000 = 23532975932069
BaseRepresentation
bin100000000010110011001…
…101110100101101101000
321210111211020221021022201
4200002303031310231220
5242034224140013000
64403333145025544
7315043233115234
oct40026315645550
97714736837281
102202030001000
1177996a58a865
122b69274852b4
1312c85c30316b
14788163d95c4
153c42e78d96a
hex200b3374b68

2202030001000 has 64 divisors (see below), whose sum is σ = 5330431314000. Its totient is φ = 850439161600.

The previous prime is 2202030000997. The next prime is 2202030001001. The reversal of 2202030001000 is 1000302022.

It can be written as a sum of positive squares in 8 ways, for example, as 164896093476 + 2037133907524 = 406074^2 + 1427282^2 .

It is a super-2 number, since 2×22020300010002 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2202030001001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37937035 + ... + 37995034.

Almost surely, 22202030001000 is an apocalyptic number.

2202030001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202030001000 is an abundant number, since it is smaller than the sum of its proper divisors (3128401313000).

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

2202030001000 is a wasteful number, since it uses less digits than its factorization.

2202030001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75932119 (or 75932105 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 2202030001000 its reverse (1000302022), we get a palindrome (2203030303022).

The spelling of 2202030001000 in words is "two trillion, two hundred two billion, thirty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 75932069 151864138 303728276 379660345 607456552 759320690 1518641380 1898301725 2202030001 3037282760 3796603450 4404060002 7593206900 8808120004 9491508625 11010150005 15186413800 17616240008 18983017250 22020300010 37966034500 44040600020 55050750025 75932069000 88081200040 110101500050 220203000100 275253750125 440406000200 550507500250 1101015000500 2202030001000