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9223439904 = 253275386323
BaseRepresentation
bin10001001011100001…
…01000011000100000
3212210210112021221100
420211300220120200
5122342200034104
64123122154400
7444364642230
oct104560503040
925723467840
109223439904
113a03433a08
121954ab2a00
13b3cb53663
14636d79cc0
1538eb16139
hex225c28620

9223439904 has 144 divisors (see below), whose sum is σ = 30542121792. Its totient is φ = 2585516544.

The previous prime is 9223439903. The next prime is 9223439977. The reversal of 9223439904 is 4099343229.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 9223439904.

It is not an unprimeable number, because it can be changed into a prime (9223439903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63687 + ... + 150009.

It is an arithmetic number, because the mean of its divisors is an integer number (212098068).

Almost surely, 29223439904 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 9223439904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15271060896).

9223439904 is an abundant number, since it is smaller than the sum of its proper divisors (21318681888).

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

9223439904 is a wasteful number, since it uses less digits than its factorization.

9223439904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86399 (or 86388 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 9223439904 is about 96038.7416827189. The cubic root of 9223439904 is about 2097.1571437215.

The spelling of 9223439904 in words is "nine billion, two hundred twenty-three million, four hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 26712 35616 53424 86323 106848 172646 258969 345292 517938 604261 690584 776907 1035876 1208522 1381168 1553814 1812783 2071752 2417044 2762336 3107628 3625566 4143504 4575119 4834088 5438349 6215256 7251132 8287008 9150238 9668176 10876698 12430512 13725357 14502264 18300476 19336352 21753396 24861024 27450714 29004528 32025833 36600952 41176071 43506792 54901428 58009056 64051666 73201904 82352142 87013584 96077499 109802856 128103332 146403808 164704284 174027168 192154998 219605712 256206664 288232497 329408568 384309996 439211424 512413328 576464994 658817136 768619992 1024826656 1152929988 1317634272 1537239984 2305859976 3074479968 4611719952 9223439904