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2262528 = 2932491
BaseRepresentation
bin1000101000011000000000
311020221121100
420220120000
51034400103
6120254400
725142202
oct10503000
94227540
102262528
111305964
12911400
13612a98
1442c772
152ea5a3
hex228600

2262528 has 60 divisors (see below), whose sum is σ = 6543108. Its totient is φ = 752640.

The previous prime is 2262521. The next prime is 2262529. The reversal of 2262528 is 8252622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4363 + ... + 4853.

22262528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271554).

2262528 is an abundant number, since it is smaller than the sum of its proper divisors (4280580).

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

2262528 is an equidigital number, since it uses as much as digits as its factorization.

2262528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 496 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2262528 is about 1504.1702031353. The cubic root of 2262528 is about 131.2798245148.

The spelling of 2262528 in words is "two million, two hundred sixty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 491 512 576 768 982 1152 1473 1536 1964 2304 2946 3928 4419 4608 5892 7856 8838 11784 15712 17676 23568 31424 35352 47136 62848 70704 94272 125696 141408 188544 251392 282816 377088 565632 754176 1131264 2262528