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9302216704 = 2121121372
BaseRepresentation
bin10001010100111010…
…01001000000000000
3220000021202120101121
420222131021000000
5123022331413304
64135014442024
7446342352214
oct105235110000
926007676347
109302216704
113a4394a100
121977363314
13b53276051
14643604944
153969c7554
hex22a749000

9302216704 has 117 divisors (see below), whose sum is σ = 20597342521. Its totient is φ = 4197416960.

The previous prime is 9302216701. The next prime is 9302216711. The reversal of 9302216704 is 4076122039.

The square root of 9302216704 is 96448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5464166400 + 3838050304 = 73920^2 + 61952^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9302216704.

It is not an unprimeable number, because it can be changed into a prime (9302216701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67899324 + ... + 67899460.

Almost surely, 29302216704 is an apocalyptic number.

9302216704 is the 96448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9302216704

9302216704 is an abundant number, since it is smaller than the sum of its proper divisors (11295125817).

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

9302216704 is an equidigital number, since it uses as much as digits as its factorization.

9302216704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The cubic root of 9302216704 is about 2103.1107867599.

The spelling of 9302216704 in words is "nine billion, three hundred two million, two hundred sixteen thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 137 176 242 256 274 352 484 512 548 704 968 1024 1096 1408 1507 1936 2048 2192 2816 3014 3872 4096 4384 5632 6028 7744 8768 11264 12056 15488 16577 17536 18769 22528 24112 30976 33154 35072 37538 45056 48224 61952 66308 70144 75076 96448 123904 132616 140288 150152 192896 206459 247808 265232 280576 300304 385792 412918 495616 530464 561152 600608 771584 825836 1060928 1201216 1543168 1651672 2121856 2271049 2402432 3086336 3303344 4243712 4542098 4804864 6172672 6606688 8487424 9084196 9609728 13213376 16974848 18168392 19219456 26426752 33949696 36336784 38438912 52853504 67899392 72673568 76877824 105707008 145347136 211414016 290694272 422828032 581388544 845656064 1162777088 2325554176 4651108352 9302216704