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8842214480 = 2451156917659
BaseRepresentation
bin10000011110000100…
…10111110001010000
3211211020012000222012
420033002113301100
5121102101330410
64021223202052
7432055403651
oct101702276120
924736160865
108842214480
113828221680
1218692a6328
13aabb86798
145dc4a1528
1536b410605
hex20f097c50

8842214480 has 80 divisors (see below), whose sum is σ = 22467758400. Its totient is φ = 3209518080.

The previous prime is 8842214467. The next prime is 8842214489. The reversal of 8842214480 is 844122488.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8842214489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491891 + ... + 509549.

It is an arithmetic number, because the mean of its divisors is an integer number (280846980).

Almost surely, 28842214480 is an apocalyptic number.

8842214480 is a gapful number since it is divisible by the number (80) 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 8842214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233879200).

8842214480 is an abundant number, since it is smaller than the sum of its proper divisors (13625543920).

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

8842214480 is a wasteful number, since it uses less digits than its factorization.

8842214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18252 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 41.

The square root of 8842214480 is about 94033.0499345842. The cubic root of 8842214480 is about 2067.8562666746.

It can be divided in two parts, 8842 and 214480, that added together give a palindrome (223322).

The spelling of 8842214480 in words is "eight billion, eight hundred forty-two million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 569 880 1138 2276 2845 4552 5690 6259 9104 11380 12518 17659 22760 25036 31295 35318 45520 50072 62590 70636 88295 100144 125180 141272 176590 194249 250360 282544 353180 388498 500720 706360 776996 971245 1412720 1553992 1942490 3107984 3884980 7769960 10047971 15539920 20095942 40191884 50239855 80383768 100479710 110527681 160767536 200959420 221055362 401918840 442110724 552638405 803837680 884221448 1105276810 1768442896 2210553620 4421107240 8842214480