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2203617680 = 245116141051
BaseRepresentation
bin1000001101011000…
…1000100110010000
312200120111101011122
42003112020212100
514003111231210
61002355101412
7105415304225
oct20326104620
95616441148
102203617680
11a30980640
12515ba1868
132916ca1b4
1416c93d94c
15cd6d3b55
hex83588990

2203617680 has 80 divisors (see below), whose sum is σ = 5680939968. Its totient is φ = 788160000.

The previous prime is 2203617659. The next prime is 2203617683. The reversal of 2203617680 is 867163022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2203617680.

It is not an unprimeable number, because it can be changed into a prime (2203617683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33155 + ... + 74205.

Almost surely, 22203617680 is an apocalyptic number.

2203617680 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 2203617680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840469984).

2203617680 is an abundant number, since it is smaller than the sum of its proper divisors (3477322288).

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

2203617680 is a wasteful number, since it uses less digits than its factorization.

2203617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41136 (or 41130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2203617680 is about 46942.7063557269. The cubic root of 2203617680 is about 1301.3039539702.

The spelling of 2203617680 in words is "two billion, two hundred three million, six hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2440 2684 3355 4880 5368 6710 10736 13420 26840 41051 53680 82102 164204 205255 328408 410510 451561 656816 821020 903122 1642040 1806244 2257805 2504111 3284080 3612488 4515610 5008222 7224976 9031220 10016444 12520555 18062440 20032888 25041110 27545221 36124880 40065776 50082220 55090442 100164440 110180884 137726105 200328880 220361768 275452210 440723536 550904420 1101808840 2203617680