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284280216 = 2331110131063
BaseRepresentation
bin10000111100011…
…100010110011000
3201210220221010220
4100330130112120
51040233431331
644113040040
710021225203
oct2074342630
9653827126
10284280216
11136517a30
127b256020
1346b8595c
1429a8093a
1519e56296
hex10f1c598

284280216 has 64 divisors (see below), whose sum is σ = 776805120. Its totient is φ = 85979520.

The previous prime is 284280203. The next prime is 284280233. The reversal of 284280216 is 612082482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 266901 + ... + 267963.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2284280216 is an apocalyptic number.

It is an amenable number.

284280216 is an abundant number, since it is smaller than the sum of its proper divisors (492524904).

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

284280216 is a wasteful number, since it uses less digits than its factorization.

284280216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 284280216 is about 16860.6113768155. The cubic root of 284280216 is about 657.5299593591.

The spelling of 284280216 in words is "two hundred eighty-four million, two hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1013 1063 2026 2126 3039 3189 4052 4252 6078 6378 8104 8504 11143 11693 12156 12756 22286 23386 24312 25512 33429 35079 44572 46772 66858 70158 89144 93544 133716 140316 267432 280632 1076819 2153638 3230457 4307276 6460914 8614552 11845009 12921828 23690018 25843656 35535027 47380036 71070054 94760072 142140108 284280216