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2230668 = 22321143131
BaseRepresentation
bin1000100000100110001100
311012022220100
420200212030
51032340133
6115451100
724650256
oct10404614
94168810
102230668
111293a30
128b6a90
1360142b
14420cd6
152e0e13
hex22098c

2230668 has 72 divisors (see below), whose sum is σ = 6342336. Its totient is φ = 655200.

The previous prime is 2230663. The next prime is 2230673. The reversal of 2230668 is 8660322.

It is an interprime number because it is at equal distance from previous prime (2230663) and next prime (2230673).

It is not an unprimeable number, because it can be changed into a prime (2230663) 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 23 ways as a sum of consecutive naturals, for example, 16963 + ... + 17093.

It is an arithmetic number, because the mean of its divisors is an integer number (88088).

22230668 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 2230668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171168).

2230668 is an abundant number, since it is smaller than the sum of its proper divisors (4111668).

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

2230668 is a wasteful number, since it uses less digits than its factorization.

2230668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2230668 is about 1493.5420985028. The cubic root of 2230668 is about 130.6606995517.

The spelling of 2230668 in words is "two million, two hundred thirty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 131 132 172 198 258 262 387 393 396 473 516 524 774 786 946 1179 1419 1441 1548 1572 1892 2358 2838 2882 4257 4323 4716 5633 5676 5764 8514 8646 11266 12969 16899 17028 17292 22532 25938 33798 50697 51876 61963 67596 101394 123926 185889 202788 247852 371778 557667 743556 1115334 2230668