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22745032328 = 237127512
BaseRepresentation
bin10101001011101101…
…011010011010001000
32011201010210100200202
4111023231122122020
5333040212013303
614240544551332
71433433404414
oct251355323210
964633710622
1022745032328
119711a83487
1244a9322548
1321b62ca615
14115aabbd44
158d1c48c88
hex54bb5a688

22745032328 has 36 divisors (see below), whose sum is σ = 43313731335. Its totient is φ = 11197410000.

The previous prime is 22745032313. The next prime is 22745032339. The reversal of 22745032328 is 82323054722.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11372516164 + 11372516164 = 106642^2 + 106642^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106642.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22745032291 and 22745032300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30285953 + ... + 30286703.

Almost surely, 222745032328 is an apocalyptic number.

It is an amenable number.

22745032328 is a deficient number, since it is larger than the sum of its proper divisors (20568699007).

22745032328 is an frugal number, since it uses more digits than its factorization.

22745032328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 22745032328 in words is "twenty-two billion, seven hundred forty-five million, thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 71 142 284 568 751 1502 3004 5041 6008 10082 20164 40328 53321 106642 213284 426568 564001 1128002 2256004 3785791 4512008 7571582 15143164 30286328 40044071 80088142 160176284 320352568 2843129041 5686258082 11372516164 22745032328