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2232090 = 233571181
BaseRepresentation
bin1000100000111100011010
311012101212000
420200330122
51032411330
6115501430
724654360
oct10407432
94171760
102232090
111295003
128b7876
13601c83
14421630
152e1560
hex220f1a

2232090 has 64 divisors (see below), whose sum is σ = 6808320. Its totient is φ = 509760.

The previous prime is 2232071. The next prime is 2232107. The reversal of 2232090 is 902322.

It is a super-3 number, since 3×22320903 = 33362328944154987000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300 + ... + 2480.

It is an arithmetic number, because the mean of its divisors is an integer number (106380).

22232090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404160).

2232090 is an abundant number, since it is smaller than the sum of its proper divisors (4576230).

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

2232090 is a wasteful number, since it uses less digits than its factorization.

2232090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2232090 is about 1494.0180721799. The cubic root of 2232090 is about 130.6884580598.

The spelling of 2232090 in words is "two million, two hundred thirty-two thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1181 1890 2362 3543 5905 7086 8267 10629 11810 16534 17715 21258 24801 31887 35430 41335 49602 53145 63774 74403 82670 106290 124005 148806 159435 223209 248010 318870 372015 446418 744030 1116045 2232090