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2253240 = 2332511569
BaseRepresentation
bin1000100110000110111000
311020110212100
420212012320
51034100430
6120143400
725103133
oct10460670
94213770
102253240
1112a9990
12907b60
1360b7a2
1442921a
152e7960
hex2261b8

2253240 has 96 divisors (see below), whose sum is σ = 8002800. Its totient is φ = 545280.

The previous prime is 2253221. The next prime is 2253247. The reversal of 2253240 is 423522.

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

It is a d-powerful number, because it can be written as 211 + 213 + 57 + 37 + 221 + 48 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253247) 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, 3676 + ... + 4244.

22253240 is an apocalyptic number.

2253240 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 2253240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001400).

2253240 is an abundant number, since it is smaller than the sum of its proper divisors (5749560).

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

2253240 is a wasteful number, since it uses less digits than its factorization.

2253240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2253240 is about 1501.0796114797. The cubic root of 2253240 is about 131.0999373371.

Adding to 2253240 its reverse (423522), we get a palindrome (2676762).

It can be divided in two parts, 225 and 3240, that multiplied together give a cube (729000 = 903).

The spelling of 2253240 in words is "two million, two hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 569 660 792 990 1138 1320 1707 1980 2276 2845 3414 3960 4552 5121 5690 6259 6828 8535 10242 11380 12518 13656 17070 18777 20484 22760 25036 25605 31295 34140 37554 40968 50072 51210 56331 62590 68280 75108 93885 102420 112662 125180 150216 187770 204840 225324 250360 281655 375540 450648 563310 751080 1126620 2253240