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2232034304 = 21014914629
BaseRepresentation
bin1000010100001010…
…0010010000000000
312202112222002110012
42011002202100000
514032400044204
61005252124052
7106211656433
oct20502422000
95675862405
102232034304
11a45a1a455
12523606628
13297569576
1417261981a
15d0e4876e
hex850a2400

2232034304 has 44 divisors (see below), whose sum is σ = 4492141500. Its totient is φ = 1108451328.

The previous prime is 2232034297. The next prime is 2232034307. The reversal of 2232034304 is 4034302322.

It can be written as a sum of positive squares in 2 ways, for example, as 326886400 + 1905147904 = 18080^2 + 43648^2 .

It is a super-3 number, since 3×22320343043 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2232034304.

It is not an unprimeable number, because it can be changed into a prime (2232034307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145262 + ... + 159890.

It is an arithmetic number, because the mean of its divisors is an integer number (102094125).

Almost surely, 22232034304 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 2232034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246070750).

2232034304 is an abundant number, since it is smaller than the sum of its proper divisors (2260107196).

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

2232034304 is a wasteful number, since it uses less digits than its factorization.

2232034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14798 (or 14780 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2232034304 is about 47244.4102937056. The cubic root of 2232034304 is about 1306.8737105394.

Adding to 2232034304 its reverse (4034302322), we get a palindrome (6266336626).

The spelling of 2232034304 in words is "two billion, two hundred thirty-two million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1024 1192 2384 4768 9536 14629 19072 29258 38144 58516 76288 117032 152576 234064 468128 936256 1872512 2179721 3745024 4359442 7490048 8718884 14980096 17437768 34875536 69751072 139502144 279004288 558008576 1116017152 2232034304