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200204433022244 = 22722296013374177
BaseRepresentation
bin101101100001010110111010…
…000111001101110100100100
3222020212100122011102121100212
4231201112322013031310210
5202220122134323202434
61545444351414354552
760112202325323600
oct5541267207156444
9866770564377325
10200204433022244
11588782501387a2
121a554b6365ba58
138793273b33831
143761d36778500
151822b9b7c18ce
hexb615ba1cdd24

200204433022244 has 72 divisors (see below), whose sum is σ = 409351083818040. Its totient is φ = 85424646795264.

The previous prime is 200204433022241. The next prime is 200204433022361. The reversal of 200204433022244 is 442220334402002.

200204433022244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54498530465344 + 145705902556900 = 7382312^2 + 12070870^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 200204433022244.

It is not an unprimeable number, because it can be changed into a prime (200204433022241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2698972484 + ... + 2699046660.

It is an arithmetic number, because the mean of its divisors is an integer number (5685431719695).

Almost surely, 2200204433022244 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 200204433022244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204675541909020).

200204433022244 is an abundant number, since it is smaller than the sum of its proper divisors (209146650795796).

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

200204433022244 is a wasteful number, since it uses less digits than its factorization.

200204433022244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134557 (or 134548 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 200204433022244 its reverse (442220334402002), we get a palindrome (642424767424246).

The spelling of 200204433022244 in words is "two hundred trillion, two hundred four billion, four hundred thirty-three million, twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 229 458 916 1603 3206 6412 11221 22442 44884 60133 74177 120266 148354 240532 296708 420931 519239 841862 1038478 1683724 2076956 2946517 3634673 5893034 7269346 11786068 13770457 14538692 16986533 27540914 33973066 55081828 67946132 96393199 118905731 192786398 237811462 385572796 475622924 674752393 832340117 1349504786 1664680234 2699009572 3329360468 4460485541 8920971082 17841942164 31223398787 62446797574 124893595148 218563791509 437127583018 874255166036 1021451188889 2042902377778 4085804755556 7150158322223 14300316644446 28600633288892 50051108255561 100102216511122 200204433022244