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2323130208 = 25374617499
BaseRepresentation
bin1000101001111000…
…0010011101100000
312222220101020112120
42022132002131200
514224210131313
61022304424240
7111366165240
oct21236023540
95886336476
102323130208
11a9238a123
1254a018080
132b03b3279
1418076db20
15d8e3ed23
hex8a782760

2323130208 has 96 divisors (see below), whose sum is σ = 6985440000. Its totient is φ = 662223360.

The previous prime is 2323130197. The next prime is 2323130221. The reversal of 2323130208 is 8020313232.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

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, 306043 + ... + 313541.

It is an arithmetic number, because the mean of its divisors is an integer number (72765000).

Almost surely, 22323130208 is an apocalyptic number.

2323130208 is a gapful number since it is divisible by the number (28) 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 2323130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720000).

2323130208 is an abundant number, since it is smaller than the sum of its proper divisors (4662309792).

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

2323130208 is a wasteful number, since it uses less digits than its factorization.

2323130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7980 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2323130208 is about 48198.8610653820. The cubic root of 2323130208 is about 1324.4163007281.

The spelling of 2323130208 in words is "two billion, three hundred twenty-three million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 461 672 922 1383 1844 2766 3227 3688 5532 6454 7376 7499 9681 11064 12908 14752 14998 19362 22128 22497 25816 29996 38724 44256 44994 51632 52493 59992 77448 89988 103264 104986 119984 154896 157479 179976 209972 239968 309792 314958 359952 419944 629916 719904 839888 1259832 1679776 2519664 3457039 5039328 6914078 10371117 13828156 20742234 24199273 27656312 41484468 48398546 55312624 72597819 82968936 96797092 110625248 145195638 165937872 193594184 290391276 331875744 387188368 580782552 774376736 1161565104 2323130208