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2203920 = 243253061
BaseRepresentation
bin1000011010000100010000
311010222012200
420122010100
51031011140
6115123200
724506265
oct10320420
94128180
102203920
111275924
128a3500
135c21c4
1441526c
152d8030
hex21a110

2203920 has 60 divisors (see below), whose sum is σ = 7403916. Its totient is φ = 587520.

The previous prime is 2203889. The next prime is 2203933. The reversal of 2203920 is 293022.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 646416 = 1248^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 2203893 and 2203902.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811 + ... + 2250.

22203920 is an apocalyptic number.

2203920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2203920 is an abundant number, since it is smaller than the sum of its proper divisors (5199996).

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

2203920 is a wasteful number, since it uses less digits than its factorization.

2203920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2203920 is about 1484.5605410356. The cubic root of 2203920 is about 130.1363460999.

Adding to 2203920 its reverse (293022), we get a palindrome (2496942).

The spelling of 2203920 in words is "two million, two hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3061 6122 9183 12244 15305 18366 24488 27549 30610 36732 45915 48976 55098 61220 73464 91830 110196 122440 137745 146928 183660 220392 244880 275490 367320 440784 550980 734640 1101960 2203920