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2283528 = 233132563
BaseRepresentation
bin1000101101100000001000
311022000102010
420231200020
51041033103
6120535520
725260342
oct10554010
94260363
102283528
11131a715
129215a0
1361c500
14436292
15301903
hex22d808

2283528 has 48 divisors (see below), whose sum is σ = 6192720. Its totient is φ = 701376.

The previous prime is 2283511. The next prime is 2283539. The reversal of 2283528 is 8253822.

It is a d-powerful number, because it can be written as 29 + 213 + 8 + 311 + 5 + 221 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 2283495 and 2283504.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3775 + ... + 4337.

It is an arithmetic number, because the mean of its divisors is an integer number (129015).

22283528 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 2283528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096360).

2283528 is an abundant number, since it is smaller than the sum of its proper divisors (3909192).

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

2283528 is a wasteful number, since it uses less digits than its factorization.

2283528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2283528 is about 1511.1346730189. The cubic root of 2283528 is about 131.6847389247.

The spelling of 2283528 in words is "two million, two hundred eighty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 563 676 1014 1126 1352 1689 2028 2252 3378 4056 4504 6756 7319 13512 14638 21957 29276 43914 58552 87828 95147 175656 190294 285441 380588 570882 761176 1141764 2283528