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822272641 = 2934498221
BaseRepresentation
bin110001000000101…
…110001010000001
32010022020210000021
4301000232022001
53141000211031
6213332053441
726243126221
oct6100561201
92108223007
10822272641
11392173673
121ab464281
13101480878
147b2c6081
154c2c6511
hex3102e281

822272641 has 8 divisors (see below), whose sum is σ = 850977000. Its totient is φ = 793591680.

The previous prime is 822272639. The next prime is 822272653. The reversal of 822272641 is 146272228.

It can be written as a sum of positive squares in 4 ways, for example, as 81072016 + 741200625 = 9004^2 + 27225^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 822272641 - 21 = 822272639 is a prime.

It is a super-2 number, since 2×8222726412 = 1352264592274229762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 822272597 and 822272606.

It is not an unprimeable number, because it can be changed into a prime (822272621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95911 + ... + 104131.

It is an arithmetic number, because the mean of its divisors is an integer number (106372125).

Almost surely, 2822272641 is an apocalyptic number.

It is an amenable number.

822272641 is a deficient number, since it is larger than the sum of its proper divisors (28704359).

822272641 is a wasteful number, since it uses less digits than its factorization.

822272641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11699.

The product of its digits is 21504, while the sum is 34.

The square root of 822272641 is about 28675.2967029114. The cubic root of 822272641 is about 936.8540677934.

The spelling of 822272641 in words is "eight hundred twenty-two million, two hundred seventy-two thousand, six hundred forty-one".

Divisors: 1 29 3449 8221 100021 238409 28354229 822272641