Search a number
-
+
2067011200 = 2752645941
BaseRepresentation
bin111101100110100…
…0001011010000000
312100001110001022101
41323031001122000
513213123324300
6541035120144
7102136206502
oct17315013200
95301401271
102067011200
11970857121
124982a3054
1326c30a667
1415873dd72
15c16ecb6a
hex7b341680

2067011200 has 48 divisors (see below), whose sum is σ = 5106171510. Its totient is φ = 826803200.

The previous prime is 2067011189. The next prime is 2067011203. The reversal of 2067011200 is 21107602.

It can be written as a sum of positive squares in 3 ways, for example, as 1196053056 + 870958144 = 34584^2 + 29512^2 .

It is not an unprimeable number, because it can be changed into a prime (2067011203) 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 5 ways as a sum of consecutive naturals, for example, 319771 + ... + 326170.

Almost surely, 22067011200 is an apocalyptic number.

2067011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2067011200 is an abundant number, since it is smaller than the sum of its proper divisors (3039160310).

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

2067011200 is an equidigital number, since it uses as much as digits as its factorization.

2067011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645965 (or 645948 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2067011200 is about 45464.3948601540. The cubic root of 2067011200 is about 1273.8382240423.

Adding to 2067011200 its reverse (21107602), we get a palindrome (2088118802).

The spelling of 2067011200 in words is "two billion, sixty-seven million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 645941 1291882 2583764 3229705 5167528 6459410 10335056 12918820 16148525 20670112 25837640 32297050 41340224 51675280 64594100 82680448 103350560 129188200 206701120 258376400 413402240 516752800 1033505600 2067011200