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822280009608 = 23321068672
BaseRepresentation
bin10111111011100111011…
…01010011011110001000
32220121110002220111102200
423331303231103132020
5101433012140301413
61425430014200200
7113256602521161
oct13756355233610
92817402814380
10822280009608
112977aa6a0782
12113443ab3060
135c704b1a505
142bb27394768
15165c92d1573
hexbf73b53788

822280009608 has 36 divisors (see below), whose sum is σ = 2227029198615. Its totient is φ = 274090771728.

The previous prime is 822280009571. The next prime is 822280009609. The reversal of 822280009608 is 806900082228.

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., 411140004804 + 411140004804 = 641202^2 + 641202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=641202.

It is a super-2 number, since 2×8222800096082 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (822280009609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7640991 + ... + 7747857.

Almost surely, 2822280009608 is an apocalyptic number.

It is an amenable number.

822280009608 is an abundant number, since it is smaller than the sum of its proper divisors (1404749189007).

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

822280009608 is an frugal number, since it uses more digits than its factorization.

822280009608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213746 (or 106872 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 822280009608 in words is "eight hundred twenty-two billion, two hundred eighty million, nine thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 106867 213734 320601 427468 641202 854936 961803 1282404 1923606 2564808 3847212 7694424 11420555689 22841111378 34261667067 45682222756 68523334134 91364445512 102785001201 137046668268 205570002402 274093336536 411140004804 822280009608