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2268992 = 26112293
BaseRepresentation
bin1000101001111101000000
311021021110202
420221331000
51040101432
6120344332
725200065
oct10517500
94237422
102268992
11130a800
129150a8
136159cb
14430c6c
152ec462
hex229f40

2268992 has 42 divisors (see below), whose sum is σ = 4965954. Its totient is φ = 1027840.

The previous prime is 2268991. The next prime is 2268997. The reversal of 2268992 is 2998622.

It can be written as a sum of positive squares in only one way, i.e., 2238016 + 30976 = 1496^2 + 176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7598 + ... + 7890.

It is an arithmetic number, because the mean of its divisors is an integer number (118237).

22268992 is an apocalyptic number.

2268992 is a gapful number since it is divisible by the number (22) 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 2268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482977).

2268992 is an abundant number, since it is smaller than the sum of its proper divisors (2696962).

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

2268992 is a wasteful number, since it uses less digits than its factorization.

2268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 2268992 is about 1506.3173636389. The cubic root of 2268992 is about 131.4047269732.

It can be divided in two parts, 22 and 68992, that multiplied together give a square (1517824 = 12322).

The spelling of 2268992 in words is "two million, two hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 293 352 484 586 704 968 1172 1936 2344 3223 3872 4688 6446 7744 9376 12892 18752 25784 35453 51568 70906 103136 141812 206272 283624 567248 1134496 2268992