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2206080 = 27325383
BaseRepresentation
bin1000011010100110000000
311011002011200
420122212000
51031043310
6115141200
724515502
oct10324600
94132150
102206080
111277508
128a4800
135c3196
14415d72
152d89c0
hex21a980

2206080 has 96 divisors (see below), whose sum is σ = 7637760. Its totient is φ = 586752.

The previous prime is 2206031. The next prime is 2206081. The reversal of 2206080 is 806022.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5569 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

22206080 is an apocalyptic number.

2206080 is a gapful number since it is divisible by the number (20) 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 2206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

2206080 is an abundant number, since it is smaller than the sum of its proper divisors (5431680).

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

2206080 is a wasteful number, since it uses less digits than its factorization.

2206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2206080 is about 1485.2878508895. The cubic root of 2206080 is about 130.1788465425.

The spelling of 2206080 in words is "two million, two hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 383 384 480 576 640 720 766 960 1149 1152 1440 1532 1915 1920 2298 2880 3064 3447 3830 4596 5745 5760 6128 6894 7660 9192 11490 12256 13788 15320 17235 18384 22980 24512 27576 30640 34470 36768 45960 49024 55152 61280 68940 73536 91920 110304 122560 137880 147072 183840 220608 245120 275760 367680 441216 551520 735360 1103040 2206080