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22303200221433 = 328954151468013
BaseRepresentation
bin1010001001000110111100…
…10100111001100011111001
32220222011110101000110212200
411010203132110321203321
510410403423224041213
6115233540532100413
74461232043624055
oct504433624714371
986864411013780
1022303200221433
11711980909991a
122602614764709
13c5a24b692251
145716a2c94c65
1528a256466273
hex1448de5398f9

22303200221433 has 24 divisors (see below), whose sum is σ = 32637926397960. Its totient is φ = 14674559581440.

The previous prime is 22303200221413. The next prime is 22303200221513. The reversal of 22303200221433 is 33412200230322.

22303200221433 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 3 + 2 + 0 + 0 + 221 + 433 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 136118889 + 22303064102544 = 11667^2 + 4722612^2 .

It is not a de Polignac number, because 22303200221433 - 28 = 22303200221177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22303200221397 and 22303200221406.

It is not an unprimeable number, because it can be changed into a prime (22303200221413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25300666 + ... + 26167347.

It is an arithmetic number, because the mean of its divisors is an integer number (1359913599915).

Almost surely, 222303200221433 is an apocalyptic number.

It is an amenable number.

22303200221433 is a deficient number, since it is larger than the sum of its proper divisors (10334726176527).

22303200221433 is a wasteful number, since it uses less digits than its factorization.

22303200221433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51468649 (or 51468646 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22303200221433 its reverse (33412200230322), we get a palindrome (55715400451755).

The spelling of 22303200221433 in words is "twenty-two trillion, three hundred three billion, two hundred million, two hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 89 267 541 801 1623 4869 48149 144447 433341 51468013 154404039 463212117 4580653157 13741959471 27844195033 41225878413 83532585099 250597755297 2478133357937 7434400073811 22303200221433