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2230200 = 233352759
BaseRepresentation
bin1000100000011110111000
311012022021000
420200132320
51032331300
6115445000
724646020
oct10403670
94168230
102230200
111293645
128b6760
1360115b
14420a80
152e0c00
hex2207b8

2230200 has 192 divisors, whose sum is σ = 8928000. Its totient is φ = 501120.

The previous prime is 2230177. The next prime is 2230219. The reversal of 2230200 is 20322.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37771 + ... + 37829.

It is an arithmetic number, because the mean of its divisors is an integer number (46500).

22230200 is an apocalyptic number.

2230200 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 2230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

2230200 is an abundant number, since it is smaller than the sum of its proper divisors (6697800).

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

2230200 is a wasteful number, since it uses less digits than its factorization.

2230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2230200 is about 1493.3854157584. The cubic root of 2230200 is about 130.6515612600.

Adding to 2230200 its reverse (20322), we get a palindrome (2250522).

The spelling of 2230200 in words is "two million, two hundred thirty thousand, two hundred".