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2768233 = 13732917
BaseRepresentation
bin1010100011110101101001
312012122022011
422203311221
51202040413
6135155521
732346436
oct12436551
95178264
102768233
1116208a6
12b15ba1
1375c010
14520b8d
1539a33d
hex2a3d69

2768233 has 8 divisors (see below), whose sum is σ = 3023048. Its totient is φ = 2519424.

The previous prime is 2768231. The next prime is 2768237. The reversal of 2768233 is 3328672.

It can be written as a sum of positive squares in 4 ways, for example, as 896809 + 1871424 = 947^2 + 1368^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 9-Lehmer number, since φ(2768233) divides (2768233-1)9.

It is a cyclic number.

It is not a de Polignac number, because 2768233 - 21 = 2768231 is a prime.

It is a super-2 number, since 2×27682332 = 15326227884578, which contains 22 as substring.

It is a d-powerful number, because it can be written as 210 + 76 + 62 + 82 + 220 + 38 + 313 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2768195 and 2768204.

It is not an unprimeable number, because it can be changed into a prime (2768231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510 + ... + 2407.

It is an arithmetic number, because the mean of its divisors is an integer number (377881).

22768233 is an apocalyptic number.

It is an amenable number.

2768233 is a deficient number, since it is larger than the sum of its proper divisors (254815).

2768233 is a wasteful number, since it uses less digits than its factorization.

2768233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003.

The product of its digits is 12096, while the sum is 31.

The square root of 2768233 is about 1663.8007693231. The cubic root of 2768233 is about 140.4109185698.

The spelling of 2768233 in words is "two million, seven hundred sixty-eight thousand, two hundred thirty-three".

Divisors: 1 13 73 949 2917 37921 212941 2768233