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2275020 = 2233511383
BaseRepresentation
bin1000101011011011001100
311021120202000
420223123030
51040300040
6120432300
725223466
oct10533314
94246660
102275020
111314290
12918690
13618687
14433136
152ee130
hex22b6cc

2275020 has 96 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 550080.

The previous prime is 2274977. The next prime is 2275027. The reversal of 2275020 is 205722.

It is a happy number.

2275020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2274984 and 2275002.

It is not an unprimeable number, because it can be changed into a prime (2275027) 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 31 ways as a sum of consecutive naturals, for example, 5749 + ... + 6131.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

22275020 is an apocalyptic number.

2275020 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 2275020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

2275020 is an abundant number, since it is smaller than the sum of its proper divisors (5466420).

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

2275020 is a wasteful number, since it uses less digits than its factorization.

2275020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2275020 is about 1508.3169428207. The cubic root of 2275020 is about 131.5209911215.

The spelling of 2275020 in words is "two million, two hundred seventy-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 383 396 495 540 594 660 766 990 1149 1188 1485 1532 1915 1980 2298 2970 3447 3830 4213 4596 5745 5940 6894 7660 8426 10341 11490 12639 13788 16852 17235 20682 21065 22980 25278 34470 37917 41364 42130 50556 51705 63195 68940 75834 84260 103410 113751 126390 151668 189585 206820 227502 252780 379170 455004 568755 758340 1137510 2275020