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2255044160 = 2653127333
BaseRepresentation
bin1000011001101001…
…0011111001000000
312211011021010001002
42012122103321000
514104242403120
61011433231132
7106611362525
oct20632237100
95734233032
102255044160
11a57a06066
1252b2624a8
1329c264975
141756c914c
15d2e91375
hex86693e40

2255044160 has 84 divisors (see below), whose sum is σ = 5549388444. Its totient is φ = 872801280.

The previous prime is 2255044139. The next prime is 2255044163. The reversal of 2255044160 is 614405522.

It can be written as a sum of positive squares in 2 ways, for example, as 284394496 + 1970649664 = 16864^2 + 44392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255044163) 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 11 ways as a sum of consecutive naturals, for example, 303854 + ... + 311186.

Almost surely, 22255044160 is an apocalyptic number.

2255044160 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 2255044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774694222).

2255044160 is an abundant number, since it is smaller than the sum of its proper divisors (3294344284).

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

2255044160 is an equidigital number, since it uses as much as digits as its factorization.

2255044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 2255044160 is about 47487.3052509826. The cubic root of 2255044160 is about 1311.3491839589.

Adding to 2255044160 its reverse (614405522), we get a palindrome (2869449682).

The spelling of 2255044160 in words is "two billion, two hundred fifty-five million, forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 961 992 1240 1922 1984 2480 3844 4805 4960 7333 7688 9610 9920 14666 15376 19220 29332 30752 36665 38440 58664 61504 73330 76880 117328 146660 153760 227323 234656 293320 307520 454646 469312 586640 909292 1136615 1173280 1818584 2273230 2346560 3637168 4546460 7047013 7274336 9092920 14094026 14548672 18185840 28188052 35235065 36371680 56376104 70470130 72743360 112752208 140940260 225504416 281880520 451008832 563761040 1127522080 2255044160