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2268630 = 2325713277
BaseRepresentation
bin1000101001110111010110
311021020222100
420221313112
51040044010
6120342530
725166040
oct10516726
94236870
102268630
11130a501
12914a46
136157b0
14430a90
152ec2c0
hex229dd6

2268630 has 96 divisors (see below), whose sum is σ = 7285824. Its totient is φ = 476928.

The previous prime is 2268593. The next prime is 2268631. The reversal of 2268630 is 368622.

2268630 is a `hidden beast` number, since 2 + 26 + 8 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2268594 and 2268603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8052 + ... + 8328.

It is an arithmetic number, because the mean of its divisors is an integer number (75894).

22268630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642912).

2268630 is an abundant number, since it is smaller than the sum of its proper divisors (5017194).

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

2268630 is a wasteful number, since it uses less digits than its factorization.

2268630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2268630 is about 1506.1971982446. The cubic root of 2268630 is about 131.3977384013.

The spelling of 2268630 in words is "two million, two hundred sixty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 277 315 390 455 546 554 585 630 819 831 910 1170 1365 1385 1638 1662 1939 2493 2730 2770 3601 3878 4095 4155 4986 5817 7202 8190 8310 9695 10803 11634 12465 17451 18005 19390 21606 24930 25207 29085 32409 34902 36010 50414 54015 58170 64818 75621 87255 108030 126035 151242 162045 174510 226863 252070 324090 378105 453726 756210 1134315 2268630