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2259488 = 257211131
BaseRepresentation
bin1000100111101000100000
311020210102202
420213220200
51034300423
6120232332
725130300
oct10475040
94223382
102259488
111303650
1290b6a8
1361159a
1442b600
152e9728
hex227a20

2259488 has 72 divisors (see below), whose sum is σ = 5688144. Its totient is φ = 873600.

The previous prime is 2259449. The next prime is 2259493. The reversal of 2259488 is 8849522.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17183 + ... + 17313.

It is an arithmetic number, because the mean of its divisors is an integer number (79002).

22259488 is an apocalyptic number.

2259488 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 2259488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844072).

2259488 is an abundant number, since it is smaller than the sum of its proper divisors (3428656).

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

2259488 is a wasteful number, since it uses less digits than its factorization.

2259488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 2259488 is about 1503.1593395246. The cubic root of 2259488 is about 131.2210010007.

It can be divided in two parts, 22 and 59488, that multiplied together give a square (1308736 = 11442).

The spelling of 2259488 in words is "two million, two hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 131 154 176 196 224 262 308 352 392 524 539 616 784 917 1048 1078 1232 1441 1568 1834 2096 2156 2464 2882 3668 4192 4312 5764 6419 7336 8624 10087 11528 12838 14672 17248 20174 23056 25676 29344 40348 46112 51352 70609 80696 102704 141218 161392 205408 282436 322784 564872 1129744 2259488