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2253360 = 243541229
BaseRepresentation
bin1000100110001000110000
311020111000210
420212020300
51034101420
6120144120
725103364
oct10461060
94214023
102253360
1112a9a8a
12908040
1360b865
144292a4
152e79e0
hex226230

2253360 has 80 divisors (see below), whose sum is σ = 7187040. Its totient is φ = 583680.

The previous prime is 2253353. The next prime is 2253371. The reversal of 2253360 is 633522.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 9726 + ... + 9954.

It is an arithmetic number, because the mean of its divisors is an integer number (89838).

22253360 is an apocalyptic number.

2253360 is a gapful number since it is divisible by the number (20) 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 2253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593520).

2253360 is an abundant number, since it is smaller than the sum of its proper divisors (4933680).

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

2253360 is a wasteful number, since it uses less digits than its factorization.

2253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2253360 is about 1501.1195821786. The cubic root of 2253360 is about 131.1022646100.

Adding to 2253360 its reverse (633522), we get a palindrome (2886882).

The spelling of 2253360 in words is "two million, two hundred fifty-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 229 240 246 328 410 458 492 615 656 687 820 916 984 1145 1230 1374 1640 1832 1968 2290 2460 2748 3280 3435 3664 4580 4920 5496 6870 9160 9389 9840 10992 13740 18320 18778 27480 28167 37556 46945 54960 56334 75112 93890 112668 140835 150224 187780 225336 281670 375560 450672 563340 751120 1126680 2253360