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2231008 = 251331173
BaseRepresentation
bin1000100000101011100000
311012100100221
420200223200
51032343013
6115452424
724651253
oct10405340
94170327
102231008
11129420a
128b7114
13601630
1442109a
152e108d
hex220ae0

2231008 has 48 divisors (see below), whose sum is σ = 4910976. Its totient is φ = 990720.

The previous prime is 2230979. The next prime is 2231011. The reversal of 2231008 is 8001322.

It is a happy number.

It is a super-3 number, since 3×22310083 = 33313835544277057536, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2230982 and 2231000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12810 + ... + 12982.

It is an arithmetic number, because the mean of its divisors is an integer number (102312).

22231008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455488).

2231008 is an abundant number, since it is smaller than the sum of its proper divisors (2679968).

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

2231008 is a wasteful number, since it uses less digits than its factorization.

2231008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2231008 is about 1493.6559175392. The cubic root of 2231008 is about 130.6673376799.

The spelling of 2231008 in words is "two million, two hundred thirty-one thousand, eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 173 208 248 346 403 416 496 692 806 992 1384 1612 2249 2768 3224 4498 5363 5536 6448 8996 10726 12896 17992 21452 35984 42904 69719 71968 85808 139438 171616 278876 557752 1115504 2231008