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2261808 = 2432113139
BaseRepresentation
bin1000101000001100110000
311020220121200
420220030300
51034334213
6120251200
725140123
oct10501460
94226550
102261808
11130536a
12910b00
13612663
1442c3ba
152ea273
hex228330

2261808 has 60 divisors (see below), whose sum is σ = 6431880. Its totient is φ = 741888.

The previous prime is 2261807. The next prime is 2261827. The reversal of 2261808 is 8081622.

It is not an unprimeable number, because it can be changed into a prime (2261801) 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 11 ways as a sum of consecutive naturals, for example, 16203 + ... + 16341.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

22261808 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 2261808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215940).

2261808 is an abundant number, since it is smaller than the sum of its proper divisors (4170072).

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

2261808 is a wasteful number, since it uses less digits than its factorization.

2261808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2261808 is about 1503.9308494741. The cubic root of 2261808 is about 131.2658973941.

The spelling of 2261808 in words is "two million, two hundred sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 139 144 226 278 339 417 452 556 678 834 904 1017 1112 1251 1356 1668 1808 2034 2224 2502 2712 3336 4068 5004 5424 6672 8136 10008 15707 16272 20016 31414 47121 62828 94242 125656 141363 188484 251312 282726 376968 565452 753936 1130904 2261808