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2241360 = 2432511283
BaseRepresentation
bin1000100011001101010000
311012212120100
420203031100
51033210420
6120012400
725023402
oct10431520
94185510
102241360
1112a0a70
12901100
13606264
14424b72
152e4190
hex223350

2241360 has 120 divisors (see below), whose sum is σ = 8240544. Its totient is φ = 541440.

The previous prime is 2241359. The next prime is 2241361. The reversal of 2241360 is 631422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2241359) and next prime (2241361).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7779 + ... + 8061.

22241360 is an apocalyptic number.

2241360 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 2241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120272).

2241360 is an abundant number, since it is smaller than the sum of its proper divisors (5999184).

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

2241360 is a wasteful number, since it uses less digits than its factorization.

2241360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2241360 is about 1497.1172298788. The cubic root of 2241360 is about 130.8691271109.

Adding to 2241360 its reverse (631422), we get a palindrome (2872782).

It can be divided in two parts, 2241 and 360, that added together give a square (2601 = 512).

The spelling of 2241360 in words is "two million, two hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 283 330 360 396 440 495 528 566 660 720 792 849 880 990 1132 1320 1415 1584 1698 1980 2264 2547 2640 2830 3113 3396 3960 4245 4528 5094 5660 6226 6792 7920 8490 9339 10188 11320 12452 12735 13584 15565 16980 18678 20376 22640 24904 25470 28017 31130 33960 37356 40752 46695 49808 50940 56034 62260 67920 74712 93390 101880 112068 124520 140085 149424 186780 203760 224136 249040 280170 373560 448272 560340 747120 1120680 2241360