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822141228 = 22383825443
BaseRepresentation
bin110001000000001…
…110000100101100
32010022000002202010
4301000032010230
53140432004403
6213325201220
726242041126
oct6100160454
92108002663
10822141228
11392093967
121ab400210
13101435acc
147b290216
154c29c603
hex3100e12c

822141228 has 24 divisors (see below), whose sum is σ = 1941444288. Its totient is φ = 270744976.

The previous prime is 822141227. The next prime is 822141239.

822141228 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 822141195 and 822141204.

It is not an unprimeable number, because it can be changed into a prime (822141227) 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, 411726 + ... + 413717.

It is an arithmetic number, because the mean of its divisors is an integer number (80893512).

Almost surely, 2822141228 is an apocalyptic number.

It is an amenable number.

822141228 is an abundant number, since it is smaller than the sum of its proper divisors (1119303060).

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

822141228 is a wasteful number, since it uses less digits than its factorization.

822141228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825533 (or 825531 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 822141228 is about 28673.0052139639. The cubic root of 822141228 is about 936.8041567879.

The spelling of 822141228 in words is "eight hundred twenty-two million, one hundred forty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 825443 1650886 2476329 3301772 4952658 9905316 68511769 137023538 205535307 274047076 411070614 822141228