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2503422240 = 253511243103
BaseRepresentation
bin1001010100110111…
…0011000100100000
320110110122000201020
42111031303010200
520111334002430
61052225005440
7116015511054
oct22515630440
96413560636
102503422240
111075131200
1259a483880
1330b85a047
1419a6a1c64
15e9ba4b10
hex95373120

2503422240 has 144 divisors (see below), whose sum is σ = 8668041984. Its totient is φ = 606876160.

The previous prime is 2503422223. The next prime is 2503422247. The reversal of 2503422240 is 422243052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2503422240.

It is not an unprimeable number, because it can be changed into a prime (2503422247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36529 + ... + 79631.

It is an arithmetic number, because the mean of its divisors is an integer number (60194736).

Almost surely, 22503422240 is an apocalyptic number.

2503422240 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 2503422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334020992).

2503422240 is an abundant number, since it is smaller than the sum of its proper divisors (6164619744).

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

2503422240 is a wasteful number, since it uses less digits than its factorization.

2503422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43143 (or 43124 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2503422240 is about 50034.2106962826. The cubic root of 2503422240 is about 1357.8278184994.

Adding to 2503422240 its reverse (422243052), we get a palindrome (2925665292).

It can be divided in two parts, 25034 and 22240, that added together give a palindrome (47274).

The spelling of 2503422240 in words is "two billion, five hundred three million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 43103 58080 86206 129309 172412 215515 258618 344824 431030 474133 517236 646545 689648 862060 948266 1034472 1293090 1379296 1422399 1724120 1896532 2068944 2370665 2586180 2844798 3448240 3793064 4137888 4741330 5172360 5215463 5689596 6896480 7111995 7586128 9482660 10344720 10430926 11379192 14223990 15172256 15646389 18965320 20689440 20861852 22758384 26077315 28447980 31292778 37930640 41723704 45516768 52154630 56895960 62585556 75861280 78231945 83447408 104309260 113791920 125171112 156463890 166894816 208618520 227583840 250342224 312927780 417237040 500684448 625855560 834474080 1251711120 2503422240