Search a number
-
+
2245640 = 235311811
BaseRepresentation
bin1000100100010000001000
311020002102212
420210100020
51033330030
6120044252
725042025
oct10442010
94202385
102245640
1112a4201
12903688
136081a7
1442654c
152e5595
hex224408

2245640 has 32 divisors (see below), whose sum is σ = 5218560. Its totient is φ = 868800.

The previous prime is 2245637. The next prime is 2245643. The reversal of 2245640 is 465422.

It is an interprime number because it is at equal distance from previous prime (2245637) and next prime (2245643).

It is not an unprimeable number, because it can be changed into a prime (2245643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335 + ... + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (163080).

22245640 is an apocalyptic number.

2245640 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 2245640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609280).

2245640 is an abundant number, since it is smaller than the sum of its proper divisors (2972920).

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

2245640 is a wasteful number, since it uses less digits than its factorization.

2245640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2245640 is about 1498.5459619244. The cubic root of 2245640 is about 130.9523747396.

The spelling of 2245640 in words is "two million, two hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1811 3622 7244 9055 14488 18110 36220 56141 72440 112282 224564 280705 449128 561410 1122820 2245640