[go: up one dir, main page]

Search a number
-
+
8007228108 = 22381127737
BaseRepresentation
bin1110111010100010…
…01001101011001100
3202200001000100000000
413131101021223030
5112344322244413
63402314404300
7402266213235
oct73521115314
922601010000
108007228108
113439964aa0
121675730690
139a7ba40c9
1455d62a08c
1531ce77073
hex1dd449acc

8007228108 has 108 divisors (see below), whose sum is σ = 22929451272. Its totient is φ = 2426345280.

The previous prime is 8007228091. The next prime is 8007228113. The reversal of 8007228108 is 8018227008.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 274816 + ... + 302552.

It is an arithmetic number, because the mean of its divisors is an integer number (212309734).

Almost surely, 28007228108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8007228108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464725636).

8007228108 is an abundant number, since it is smaller than the sum of its proper divisors (14922223164).

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

8007228108 is a wasteful number, since it uses less digits than its factorization.

8007228108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27776 (or 27753 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8007228108 is about 89483.1163292830. The cubic root of 8007228108 is about 2000.6021610162.

The spelling of 8007228108 in words is "eight billion, seven million, two hundred twenty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2187 2673 2916 3564 4374 5346 6561 8019 8748 10692 13122 16038 24057 26244 27737 32076 48114 55474 72171 83211 96228 110948 144342 166422 249633 288684 305107 332844 499266 610214 748899 915321 998532 1220428 1497798 1830642 2246697 2745963 2995596 3661284 4493394 5491926 6740091 8237889 8986788 10983852 13480182 16475778 20220273 24713667 26960364 32951556 40440546 49427334 60660819 74141001 80881092 98854668 121321638 148282002 181982457 222423003 242643276 296564004 363964914 444846006 667269009 727929828 889692012 1334538018 2001807027 2669076036 4003614054 8007228108