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2001224200 = 235210006121
BaseRepresentation
bin111011101001000…
…0100001000001000
312011110122201111211
41313102010020020
513044303133300
6530325102504
7100410060613
oct16722041010
95143581454
102001224200
119377033a8
1247a257a34
1325b7b5641
1414dad717a
15baa554ba
hex77484208

2001224200 has 24 divisors (see below), whose sum is σ = 4652846730. Its totient is φ = 800489600.

The previous prime is 2001224177. The next prime is 2001224213. The reversal of 2001224200 is 24221002.

It can be written as a sum of positive squares in 3 ways, for example, as 1568001604 + 433222596 = 39598^2 + 20814^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5002861 + ... + 5003260.

Almost surely, 22001224200 is an apocalyptic number.

2001224200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001224200 is an abundant number, since it is smaller than the sum of its proper divisors (2651622530).

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

2001224200 is a wasteful number, since it uses less digits than its factorization.

2001224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006137 (or 10006128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2001224200 is about 44735.0444282779. The cubic root of 2001224200 is about 1260.1780633542.

Adding to 2001224200 its reverse (24221002), we get a palindrome (2025445202).

The spelling of 2001224200 in words is "two billion, one million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10006121 20012242 40024484 50030605 80048968 100061210 200122420 250153025 400244840 500306050 1000612100 2001224200