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2233820 = 225611831
BaseRepresentation
bin1000100001010111011100
311012111020002
420201113130
51032440240
6115513432
724662411
oct10412734
94174202
102233820
111296336
128b8878
136029b4
14422108
152e1d15
hex2215dc

2233820 has 24 divisors (see below), whose sum is σ = 4770528. Its totient is φ = 878400.

The previous prime is 2233793. The next prime is 2233843. The reversal of 2233820 is 283322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2233792 and 2233801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (198772).

22233820 is an apocalyptic number.

2233820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2233820 is an abundant number, since it is smaller than the sum of its proper divisors (2536708).

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

2233820 is a wasteful number, since it uses less digits than its factorization.

2233820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2233820 is about 1494.5969356318. The cubic root of 2233820 is about 130.7222130677.

The spelling of 2233820 in words is "two million, two hundred thirty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1831 3662 7324 9155 18310 36620 111691 223382 446764 558455 1116910 2233820