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2263407 = 32332803
BaseRepresentation
bin1000101000100101101111
311020222210220
420220211233
51034412112
6120302423
725144566
oct10504557
94228726
102263407
111306593
12911a13
136132c3
1442cbdd
152ea98c
hex22896f

2263407 has 8 divisors (see below), whose sum is σ = 3149184. Its totient is φ = 1443288.

The previous prime is 2263381. The next prime is 2263411. The reversal of 2263407 is 7043622.

2263407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 2263407 - 215 = 2230639 is a prime.

It is a super-2 number, since 2×22634072 = 10246022495298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263427) by changing a digit.

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, 16333 + ... + 16470.

It is an arithmetic number, because the mean of its divisors is an integer number (393648).

22263407 is an apocalyptic number.

2263407 is a deficient number, since it is larger than the sum of its proper divisors (885777).

2263407 is a wasteful number, since it uses less digits than its factorization.

2263407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32829.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2263407 is about 1504.4623624405. The cubic root of 2263407 is about 131.2968232032.

The spelling of 2263407 in words is "two million, two hundred sixty-three thousand, four hundred seven".

Divisors: 1 3 23 69 32803 98409 754469 2263407