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2251440 = 243255359
BaseRepresentation
bin1000100101101010110000
311020101101200
420211222300
51034021230
6120131200
725064652
oct10455260
94211350
102251440
1112a85a4
12906b00
1360aa19
144286d2
152e7160
hex225ab0

2251440 has 120 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 579072.

The previous prime is 2251427. The next prime is 2251451. The reversal of 2251440 is 441522.

2251440 is a `hidden beast` number, since 225 + 1 + 440 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38131 + ... + 38189.

It is an arithmetic number, because the mean of its divisors is an integer number (65286).

22251440 is an apocalyptic number.

2251440 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 2251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

2251440 is an abundant number, since it is smaller than the sum of its proper divisors (5582880).

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

2251440 is a wasteful number, since it uses less digits than its factorization.

2251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2251440 is about 1500.4799232246. The cubic root of 2251440 is about 131.0650183238.

Adding to 2251440 its reverse (441522), we get a palindrome (2692962).

The spelling of 2251440 in words is "two million, two hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 59 60 72 80 90 106 118 120 144 159 177 180 212 236 240 265 295 318 354 360 424 472 477 530 531 590 636 708 720 795 848 885 944 954 1060 1062 1180 1272 1416 1590 1770 1908 2120 2124 2360 2385 2544 2655 2832 3127 3180 3540 3816 4240 4248 4720 4770 5310 6254 6360 7080 7632 8496 9381 9540 10620 12508 12720 14160 15635 18762 19080 21240 25016 28143 31270 37524 38160 42480 46905 50032 56286 62540 75048 93810 112572 125080 140715 150096 187620 225144 250160 281430 375240 450288 562860 750480 1125720 2251440