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2002551300 = 2232522225057
BaseRepresentation
bin111011101011100…
…1000001000000100
312011120011010221200
41313113020020010
513100123120200
6530413342500
7100424255661
oct16727101004
95146133850
102002551300
1193842a482
1247a797a30
1325bb5b6c9
1414dd60a68
15bac18800
hex775c8204

2002551300 has 54 divisors (see below), whose sum is σ = 6276888618. Its totient is φ = 534013440.

The previous prime is 2002551283. The next prime is 2002551301. The reversal of 2002551300 is 31552002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 533055744 + 1469495556 = 23088^2 + 38334^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2002551301) 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 17 ways as a sum of consecutive naturals, for example, 1111629 + ... + 1113428.

Almost surely, 22002551300 is an apocalyptic number.

2002551300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002551300 is an abundant number, since it is smaller than the sum of its proper divisors (4274337318).

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

2002551300 is a wasteful number, since it uses less digits than its factorization.

2002551300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225077 (or 2225067 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2002551300 is about 44749.8748601602. The cubic root of 2002551300 is about 1260.4565616799.

The spelling of 2002551300 in words is "two billion, two million, five hundred fifty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2225057 4450114 6675171 8900228 11125285 13350342 20025513 22250570 26700684 33375855 40051026 44501140 55626425 66751710 80102052 100127565 111252850 133503420 166879275 200255130 222505700 333758550 400510260 500637825 667517100 1001275650 2002551300