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2267742 = 232913033
BaseRepresentation
bin1000101001101001011110
311021012202110
420221221132
51040031432
6120334450
725163331
oct10515136
94235673
102267742
111309874
12914426
13615279
14430618
152ebdcc
hex229a5e

2267742 has 16 divisors (see below), whose sum is σ = 4692240. Its totient is φ = 729792.

The previous prime is 2267737. The next prime is 2267773. The reversal of 2267742 is 2477622.

2267742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 29 + 217 + 64 + 75 + 75 + 46 + 221 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6343 + ... + 6690.

It is an arithmetic number, because the mean of its divisors is an integer number (293265).

22267742 is an apocalyptic number.

2267742 is an abundant number, since it is smaller than the sum of its proper divisors (2424498).

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

2267742 is a wasteful number, since it uses less digits than its factorization.

2267742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067.

The product of its digits is 9408, while the sum is 30.

The square root of 2267742 is about 1505.9023872748. The cubic root of 2267742 is about 131.3805920150.

The spelling of 2267742 in words is "two million, two hundred sixty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 29 58 87 174 13033 26066 39099 78198 377957 755914 1133871 2267742