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2001223300 = 225229809853
BaseRepresentation
bin111011101001000…
…0011111010000100
312011110122200021111
41313102003322010
513044303121200
6530325054404
7100410055156
oct16722037204
95143580244
102001223300
1193770275a
1247a257404
1325b7b50cb
1414dad6ad6
15baa550ba
hex77483e84

2001223300 has 72 divisors (see below), whose sum is σ = 4503227400. Its totient is φ = 771025920.

The previous prime is 2001223297. The next prime is 2001223351. The reversal of 2001223300 is 33221002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 596922624 + 1404300676 = 24432^2 + 37474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2345674 + ... + 2346526.

It is an arithmetic number, because the mean of its divisors is an integer number (62544825).

Almost surely, 22001223300 is an apocalyptic number.

2001223300 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 2001223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251613700).

2001223300 is an abundant number, since it is smaller than the sum of its proper divisors (2502004100).

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

2001223300 is a wasteful number, since it uses less digits than its factorization.

2001223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2001223300 is about 44735.0343690491. The cubic root of 2001223300 is about 1260.1778744431.

Adding to 2001223300 its reverse (33221002), we get a palindrome (2034444302).

The spelling of 2001223300 in words is "two billion, one million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 809 853 1450 1618 1706 2900 3236 3412 4045 4265 8090 8530 16180 17060 20225 21325 23461 24737 40450 42650 46922 49474 80900 85300 93844 98948 117305 123685 234610 247370 469220 494740 586525 618425 690077 1173050 1236850 1380154 2346100 2473700 2760308 3450385 6900770 13801540 17251925 20012233 34503850 40024466 69007700 80048932 100061165 200122330 400244660 500305825 1000611650 2001223300