Search a number
-
+
2230500 = 223531487
BaseRepresentation
bin1000100000100011100100
311012022200010
420200203210
51032334000
6115450220
724646626
oct10404344
94168603
102230500
111293898
128b6970
1360132c
14420c16
152e0d50
hex2208e4

2230500 has 48 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 594400.

The previous prime is 2230493. The next prime is 2230511. The reversal of 2230500 is 50322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

22230500 is an apocalyptic number.

2230500 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 2230500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2230500 is an abundant number, since it is smaller than the sum of its proper divisors (4269084).

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

2230500 is a wasteful number, since it uses less digits than its factorization.

2230500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2230500 is about 1493.4858553063. The cubic root of 2230500 is about 130.6574192863.

Adding to 2230500 its reverse (50322), we get a palindrome (2280822).

The spelling of 2230500 in words is "two million, two hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1487 1500 2974 4461 5948 7435 8922 14870 17844 22305 29740 37175 44610 74350 89220 111525 148700 185875 223050 371750 446100 557625 743500 1115250 2230500