Search a number
-
+
2283120 = 243357151
BaseRepresentation
bin1000101101011001110000
311021222212000
420231121300
51041024440
6120534000
725256220
oct10553160
94258760
102283120
11131a384
12921300
1361c278
14436080
15301730
hex22d670

2283120 has 160 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 518400.

The previous prime is 2283109. The next prime is 2283137. The reversal of 2283120 is 213822.

It is a happy number.

It is a Cunningham number, because it is equal to 15112-1.

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 = 2283093 and 2283102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15045 + ... + 15195.

It is an arithmetic number, because the mean of its divisors is an integer number (56544).

22283120 is an apocalyptic number.

2283120 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 2283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523520).

2283120 is an abundant number, since it is smaller than the sum of its proper divisors (6763920).

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

2283120 is a wasteful number, since it uses less digits than its factorization.

2283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

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

The square root of 2283120 is about 1510.9996690933. Note that the first 3 decimals coincide. The cubic root of 2283120 is about 131.6768957140.

Adding to 2283120 its reverse (213822), we get a palindrome (2496942).

The spelling of 2283120 in words is "two million, two hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 151 168 180 189 210 216 240 252 270 280 302 315 336 360 378 420 432 453 504 540 560 604 630 720 755 756 840 906 945 1008 1057 1080 1208 1260 1359 1510 1512 1680 1812 1890 2114 2160 2265 2416 2520 2718 3020 3024 3171 3624 3780 4077 4228 4530 5040 5285 5436 6040 6342 6795 7248 7560 8154 8456 9060 9513 10570 10872 12080 12684 13590 15120 15855 16308 16912 18120 19026 20385 21140 21744 25368 27180 28539 31710 32616 36240 38052 40770 42280 47565 50736 54360 57078 63420 65232 76104 81540 84560 95130 108720 114156 126840 142695 152208 163080 190260 228312 253680 285390 326160 380520 456624 570780 761040 1141560 2283120