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283072224 = 25323128203
BaseRepresentation
bin10000110111110…
…101011011100000
3201201122120002110
4100313311123200
51034431302344
644031115320
710005034311
oct2067653340
9651576073
10283072224
11135872396
127a972b40
1346851b76
1429848608
1519cb83b9
hex10df56e0

283072224 has 48 divisors (see below), whose sum is σ = 775377792. Its totient is φ = 90254208.

The previous prime is 283072189. The next prime is 283072259. The reversal of 283072224 is 422270382.

283072224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (283072189) and next prime (283072259).

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

It is a junction number, because it is equal to n+sod(n) for n = 283072191 and 283072200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61894 + ... + 66309.

It is an arithmetic number, because the mean of its divisors is an integer number (16153704).

Almost surely, 2283072224 is an apocalyptic number.

283072224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

283072224 is an abundant number, since it is smaller than the sum of its proper divisors (492305568).

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

283072224 is a wasteful number, since it uses less digits than its factorization.

283072224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128239 (or 128231 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 283072224 is about 16824.7503399010. The cubic root of 283072224 is about 656.5972896320.

The spelling of 283072224 in words is "two hundred eighty-three million, seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 128203 256406 384609 512812 769218 1025624 1538436 2051248 2948669 3076872 4102496 5897338 6153744 8846007 11794676 12307488 17692014 23589352 35384028 47178704 70768056 94357408 141536112 283072224