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2262533 = 71323247
BaseRepresentation
bin1000101000011000000101
311020221121112
420220120011
51034400113
6120254405
725142210
oct10503005
94227545
102262533
111305969
12911405
13612aa0
1442c777
152ea5a8
hex228605

2262533 has 24 divisors (see below), whose sum is σ = 2972928. Its totient is φ = 1675872.

The previous prime is 2262529. The next prime is 2262541. The reversal of 2262533 is 3352622.

It is a happy number.

It is not a de Polignac number, because 2262533 - 22 = 2262529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a d-powerful number, because it can be written as 2 + 220 + 66 + 220 + 54 + 310 + 310 .

Its product of digits (2160) is a multiple of the sum of its prime divisors (90).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2262499 and 2262508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262563) 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, 48116 + ... + 48162.

It is an arithmetic number, because the mean of its divisors is an integer number (123872).

22262533 is an apocalyptic number.

2262533 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2262533 is a deficient number, since it is larger than the sum of its proper divisors (710395).

2262533 is a wasteful number, since it uses less digits than its factorization.

2262533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its digits is 2160, while the sum is 23.

The square root of 2262533 is about 1504.1718651803. The cubic root of 2262533 is about 131.2799212206.

The spelling of 2262533 in words is "two million, two hundred sixty-two thousand, five hundred thirty-three".

Divisors: 1 7 13 23 47 91 161 299 329 529 611 1081 2093 3703 4277 6877 7567 14053 24863 48139 98371 174041 323219 2262533