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2263140 = 2234511127
BaseRepresentation
bin1000101000100001100100
311020222110000
420220201210
51034410030
6120301300
725144035
oct10504144
94228400
102263140
111306370
12911830
13613149
1442ca8c
152ea860
hex228864

2263140 has 120 divisors (see below), whose sum is σ = 7805952. Its totient is φ = 544320.

The previous prime is 2263139. The next prime is 2263141. The reversal of 2263140 is 413622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2263139) and next prime (2263141).

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

It is not an unprimeable number, because it can be changed into a prime (2263141) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 17757 + ... + 17883.

22263140 is an apocalyptic number.

2263140 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 2263140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902976).

2263140 is an abundant number, since it is smaller than the sum of its proper divisors (5542812).

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

2263140 is a wasteful number, since it uses less digits than its factorization.

2263140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

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

The square root of 2263140 is about 1504.3736238049. The cubic root of 2263140 is about 131.2916602446.

Adding to 2263140 its reverse (413622), we get a palindrome (2676762).

The spelling of 2263140 in words is "two million, two hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 127 132 135 162 165 180 198 220 254 270 297 324 330 381 396 405 495 508 540 594 635 660 762 810 891 990 1143 1188 1270 1397 1485 1524 1620 1782 1905 1980 2286 2540 2794 2970 3429 3564 3810 4191 4455 4572 5588 5715 5940 6858 6985 7620 8382 8910 10287 11430 12573 13716 13970 16764 17145 17820 20574 20955 22860 25146 27940 34290 37719 41148 41910 50292 51435 62865 68580 75438 83820 102870 113157 125730 150876 188595 205740 226314 251460 377190 452628 565785 754380 1131570 2263140