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2284369248 = 25373399359
BaseRepresentation
bin1000100000101000…
…1011010101100000
312220012102222111110
42020022023111200
514134244303443
61014401543320
7110415550440
oct21012132540
95805388443
102284369248
11a72515477
12539044b40
132a53616a5
14179560120
15d5835233
hex8828b560

2284369248 has 48 divisors (see below), whose sum is σ = 6853109760. Its totient is φ = 652676736.

The previous prime is 2284369207. The next prime is 2284369277. The reversal of 2284369248 is 8429634822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22843692482 = 10436685722416171008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2284369197 and 2284369206.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1699008 + ... + 1700351.

It is an arithmetic number, because the mean of its divisors is an integer number (142773120).

Almost surely, 22284369248 is an apocalyptic number.

2284369248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2284369248 is an abundant number, since it is smaller than the sum of its proper divisors (4568740512).

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

2284369248 is a wasteful number, since it uses less digits than its factorization.

2284369248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399379 (or 3399371 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 2284369248 is about 47795.0755622376. The cubic root of 2284369248 is about 1317.0090775390.

The spelling of 2284369248 in words is "two billion, two hundred eighty-four million, three hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3399359 6798718 10198077 13597436 20396154 23795513 27194872 40792308 47591026 54389744 71386539 81584616 95182052 108779488 142773078 163169232 190364104 285546156 326338464 380728208 571092312 761456416 1142184624 2284369248