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2208528 = 243272313
BaseRepresentation
bin1000011011001100010000
311011012112100
420123030100
51031133103
6115200400
724525600
oct10331420
94135470
102208528
111279333
128a6100
135c432a
14416c00
152d95a3
hex21b310

2208528 has 90 divisors (see below), whose sum is σ = 7212894. Its totient is φ = 628992.

The previous prime is 2208517. The next prime is 2208559. The reversal of 2208528 is 8258022.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 1016064 = 1092^2 + 1008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6900 + ... + 7212.

22208528 is an apocalyptic number.

2208528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606447).

2208528 is an abundant number, since it is smaller than the sum of its proper divisors (5004366).

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

2208528 is a wasteful number, since it uses less digits than its factorization.

2208528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2208528 is about 1486.1117050881. Note that the first 3 decimals coincide. The cubic root of 2208528 is about 130.2269801875.

The spelling of 2208528 in words is "two million, two hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 313 336 392 441 504 588 626 784 882 939 1008 1176 1252 1764 1878 2191 2352 2504 2817 3528 3756 4382 5008 5634 6573 7056 7512 8764 11268 13146 15024 15337 17528 19719 22536 26292 30674 35056 39438 45072 46011 52584 61348 78876 92022 105168 122696 138033 157752 184044 245392 276066 315504 368088 552132 736176 1104264 2208528