Search a number
-
+
283220000 = 255472172
BaseRepresentation
bin10000111000011…
…001100000100000
3201201221001210122
4100320121200200
51040001020000
644034215412
710006221200
oct2070314040
9651831718
10283220000
11135963418
127aa24568
13468a41cb
1429886400
1519ce7085
hex10e19820

283220000 has 270 divisors, whose sum is σ = 861003297. Its totient is φ = 91392000.

The previous prime is 283219991. The next prime is 283220009. The reversal of 283220000 is 22382.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (283219991) and next prime (283220009).

It can be written as a sum of positive squares in 8 ways, for example, as 38416 + 283181584 = 196^2 + 16828^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11900.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (283220009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16659992 + ... + 16660008.

Almost surely, 2283220000 is an apocalyptic number.

283220000 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 283220000

283220000 is an abundant number, since it is smaller than the sum of its proper divisors (577783297).

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

283220000 is an equidigital number, since it uses as much as digits as its factorization.

283220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 283220000 is about 16829.1413922398. The cubic root of 283220000 is about 656.7115271931.

Adding to 283220000 its reverse (22382), we get a palindrome (283242382).

The spelling of 283220000 in words is "two hundred eighty-three million, two hundred twenty thousand".