Search a number
-
+
2283072 = 263112347
BaseRepresentation
bin1000101101011001000000
311021222210020
420231121000
51041024242
6120533440
725256121
oct10553100
94258706
102283072
11131a340
12921280
1361c23c
14436048
153016ec
hex22d640

2283072 has 112 divisors (see below), whose sum is σ = 7022592. Its totient is φ = 647680.

The previous prime is 2283067. The next prime is 2283077. The reversal of 2283072 is 2703822.

It is an interprime number because it is at equal distance from previous prime (2283067) and next prime (2283077).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2283077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48553 + ... + 48599.

22283072 is an apocalyptic number.

2283072 is a gapful number since it is divisible by the number (22) 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 2283072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511296).

2283072 is an abundant number, since it is smaller than the sum of its proper divisors (4739520).

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

2283072 is a wasteful number, since it uses less digits than its factorization.

2283072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2283072 is about 1510.9837854855. The cubic root of 2283072 is about 131.6759729219.

Adding to 2283072 its reverse (2703822), we get a palindrome (4986894).

The spelling of 2283072 in words is "two million, two hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 47 48 64 66 69 88 92 94 96 132 138 141 176 184 188 192 253 264 276 282 352 368 376 506 517 528 552 564 704 736 752 759 1012 1034 1056 1081 1104 1128 1472 1504 1518 1551 2024 2068 2112 2162 2208 2256 3008 3036 3102 3243 4048 4136 4324 4416 4512 6072 6204 6486 8096 8272 8648 9024 11891 12144 12408 12972 16192 16544 17296 23782 24288 24816 25944 33088 34592 35673 47564 48576 49632 51888 69184 71346 95128 99264 103776 142692 190256 207552 285384 380512 570768 761024 1141536 2283072