Search a number
-
+
2284135625 = 544189137
BaseRepresentation
bin1000100000100101…
…0010010011001001
312220012000010000202
42020021102103021
514134214320000
61014352541545
7110413555352
oct21011222311
95805003022
102284135625
11a723759a2
12538b518b5
132a52ac255
141794dcd29
15d57dadd5
hex882524c9

2284135625 has 20 divisors (see below), whose sum is σ = 2923904676. Its totient is φ = 1782720000.

The previous prime is 2284135577. The next prime is 2284135639. The reversal of 2284135625 is 5265314822.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1794708496 + 489427129 = 42364^2 + 22123^2 .

It is a de Polignac number, because none of the positive numbers 2k-2284135625 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

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 19 ways as a sum of consecutive naturals, for example, 18944 + ... + 70193.

Almost surely, 22284135625 is an apocalyptic number.

2284135625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2284135625 is a deficient number, since it is larger than the sum of its proper divisors (639769051).

2284135625 is an frugal number, since it uses more digits than its factorization.

2284135625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89198 (or 89183 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 2284135625 is about 47792.6314927312. The cubic root of 2284135625 is about 1316.9641790618.

The spelling of 2284135625 in words is "two billion, two hundred eighty-four million, one hundred thirty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 41 125 205 625 1025 5125 25625 89137 445685 2228425 3654617 11142125 18273085 55710625 91365425 456827125 2284135625