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2230512 = 243311499
BaseRepresentation
bin1000100000100011110000
311012022200120
420200203300
51032334022
6115450240
724646644
oct10404360
94168616
102230512
1112938a9
128b6980
1360133b
14420c24
152e0d5c
hex2208f0

2230512 has 40 divisors (see below), whose sum is σ = 5952000. Its totient is φ = 719040.

The previous prime is 2230511. The next prime is 2230513. The reversal of 2230512 is 2150322.

It is an interprime number because it is at equal distance from previous prime (2230511) and next prime (2230513).

It is a junction number, because it is equal to n+sod(n) for n = 2230491 and 2230500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230511) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 739 + ... + 2237.

It is an arithmetic number, because the mean of its divisors is an integer number (148800).

22230512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976000).

2230512 is an abundant number, since it is smaller than the sum of its proper divisors (3721488).

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

2230512 is a wasteful number, since it uses less digits than its factorization.

2230512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2230512 is about 1493.4898727477. The cubic root of 2230512 is about 130.6576535965.

Adding to 2230512 its reverse (2150322), we get a palindrome (4380834).

The spelling of 2230512 in words is "two million, two hundred thirty thousand, five hundred twelve".