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22213130132032 = 267233721018601
BaseRepresentation
bin1010000110011111001011…
…01110110001101001000000
32220122112222020020212011121
411003033211232301221000
510402414442303211112
6115124323205322024
74451563033532200
oct503174556615100
986575866225147
1022213130132032
117094598956604
1225a9078406314
13c518c619c868
1456b19a950400
15287c33d92407
hex1433e5bb1a40

22213130132032 has 84 divisors (see below), whose sum is σ = 51427937038764. Its totient is φ = 9491663462400.

The previous prime is 22213130131909. The next prime is 22213130132041. The reversal of 22213130132032 is 23023103131222.

It can be written as a sum of positive squares in 2 ways, for example, as 2706209243136 + 19506920888896 = 1645056^2 + 4416664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22213130131988 and 22213130132006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9452469 + ... + 11566132.

Almost surely, 222213130132032 is an apocalyptic number.

It is an amenable number.

22213130132032 is an abundant number, since it is smaller than the sum of its proper divisors (29214806906732).

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

22213130132032 is a wasteful number, since it uses less digits than its factorization.

22213130132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21018964 (or 21018947 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 22213130132032 its reverse (23023103131222), we get a palindrome (45236233263254).

The spelling of 22213130132032 in words is "twenty-two trillion, two hundred thirteen billion, one hundred thirty million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 337 392 448 674 784 1348 1568 2359 2696 3136 4718 5392 9436 10784 16513 18872 21568 33026 37744 66052 75488 132104 150976 264208 528416 1056832 21018601 42037202 84074404 147130207 168148808 294260414 336297616 588520828 672595232 1029911449 1177041656 1345190464 2059822898 2354083312 4119645796 4708166624 7083268537 8239291592 9416333248 14166537074 16478583184 28333074148 32957166368 49582879759 56666148296 65914332736 99165759518 113332296592 198331519036 226664593184 347080158313 396663038072 453329186368 694160316626 793326076144 1388320633252 1586652152288 2776641266504 3173304304576 5553282533008 11106565066016 22213130132032