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2225680 = 24543647
BaseRepresentation
bin1000011111011000010000
311012002001121
420133120100
51032210210
6115412024
724626602
oct10373020
94162047
102225680
111290206
128b4014
135cc092
1441d172
152de6da
hex21f610

2225680 has 40 divisors (see below), whose sum is σ = 5303232. Its totient is φ = 868224.

The previous prime is 2225659. The next prime is 2225681. The reversal of 2225680 is 865222.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2225681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3117 + ... + 3763.

22225680 is an apocalyptic number.

2225680 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 2225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616).

2225680 is an abundant number, since it is smaller than the sum of its proper divisors (3077552).

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

2225680 is a wasteful number, since it uses less digits than its factorization.

2225680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2225680 is about 1491.8713081228. The cubic root of 2225680 is about 130.5632366757.

The spelling of 2225680 in words is "two million, two hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 647 688 860 1294 1720 2588 3235 3440 5176 6470 10352 12940 25880 27821 51760 55642 111284 139105 222568 278210 445136 556420 1112840 2225680