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20822016 = 21133389
BaseRepresentation
bin100111101101…
…1100000000000
31110011212102210
41033123200000
520312301031
62022142120
7341661405
oct117334000
943155383
1020822016
1110831986
126b81940
134410627
142aa02ac
151c64746
hex13db800

20822016 has 48 divisors (see below), whose sum is σ = 55528200. Its totient is φ = 6938624.

The previous prime is 20821981. The next prime is 20822017. The reversal of 20822016 is 61022802.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 20821983 and 20822001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20822017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4450 + ... + 7838.

Almost surely, 220822016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27764100).

20822016 is an abundant number, since it is smaller than the sum of its proper divisors (34706184).

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

20822016 is an equidigital number, since it uses as much as digits as its factorization.

20822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3414 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20822016 is about 4563.1147257109. The cubic root of 20822016 is about 275.1107697012.

Adding to 20822016 its reverse (61022802), we get a palindrome (81844818).

The spelling of 20822016 in words is "twenty million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3389 6144 6778 10167 13556 20334 27112 40668 54224 81336 108448 162672 216896 325344 433792 650688 867584 1301376 1735168 2602752 3470336 5205504 6940672 10411008 20822016