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2209104 = 243223229
BaseRepresentation
bin1000011011010101010000
311011020022200
420123111100
51031142404
6115203200
724530352
oct10332520
94136280
102209104
111279807
128a6500
135c4681
144170d2
152d9839
hex21b550

2209104 has 90 divisors (see below), whose sum is σ = 6685770. Its totient is φ = 680064.

The previous prime is 2209079. The next prime is 2209117. The reversal of 2209104 is 4019022.

It can be written as a sum of positive squares in only one way, i.e., 1904400 + 304704 = 1380^2 + 552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76162 + ... + 76190.

22209104 is an apocalyptic number.

2209104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2209104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342885).

2209104 is an abundant number, since it is smaller than the sum of its proper divisors (4476666).

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

2209104 is a wasteful number, since it uses less digits than its factorization.

2209104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2209104 is about 1486.3054867691. The cubic root of 2209104 is about 130.2383005813.

The spelling of 2209104 in words is "two million, two hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 69 72 87 92 116 138 144 174 184 207 232 261 276 348 368 414 464 522 529 552 667 696 828 1044 1058 1104 1334 1392 1587 1656 2001 2088 2116 2668 3174 3312 4002 4176 4232 4761 5336 6003 6348 8004 8464 9522 10672 12006 12696 15341 16008 19044 24012 25392 30682 32016 38088 46023 48024 61364 76176 92046 96048 122728 138069 184092 245456 276138 368184 552276 736368 1104552 2209104