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2270775520 = 255133593041
BaseRepresentation
bin1000011101011001…
…0100100011100000
312212020212100102001
42013112110203200
514122304304040
61013154333344
7110162162536
oct20726244340
95766770361
102270775520
11a65880292
1253458a254
132a25b2170
14177822156
15d454c59a
hex875948e0

2270775520 has 96 divisors (see below), whose sum is σ = 5795375040. Its totient is φ = 835829760.

The previous prime is 2270775517. The next prime is 2270775523. The reversal of 2270775520 is 255770722.

It is an interprime number because it is at equal distance from previous prime (2270775517) and next prime (2270775523).

It is a self number, because there is not a number n which added to its sum of digits gives 2270775520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270775523) 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 15 ways as a sum of consecutive naturals, for example, 745200 + ... + 748240.

It is an arithmetic number, because the mean of its divisors is an integer number (60368490).

Almost surely, 22270775520 is an apocalyptic number.

2270775520 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 2270775520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897687520).

2270775520 is an abundant number, since it is smaller than the sum of its proper divisors (3524599520).

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

2270775520 is a wasteful number, since it uses less digits than its factorization.

2270775520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 37.

The square root of 2270775520 is about 47652.6549102985. The cubic root of 2270775520 is about 1314.3914777611.

The spelling of 2270775520 in words is "two billion, two hundred seventy million, seven hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 359 416 520 718 1040 1436 1795 2080 2872 3041 3590 4667 5744 6082 7180 9334 11488 12164 14360 15205 18668 23335 24328 28720 30410 37336 39533 46670 48656 57440 60820 74672 79066 93340 97312 121640 149344 158132 186680 197665 243280 316264 373360 395330 486560 632528 746720 790660 1091719 1265056 1581320 2183438 3162640 4366876 5458595 6325280 8733752 10917190 14192347 17467504 21834380 28384694 34935008 43668760 56769388 70961735 87337520 113538776 141923470 174675040 227077552 283846940 454155104 567693880 1135387760 2270775520