Search a number
-
+
20522112 = 273134111
BaseRepresentation
bin100111001001…
…0010010000000
31102121122001020
41032102102000
520223201422
62011505440
7336302142
oct116222200
942548036
1020522112
1110647626
126a58280
134336c80
142a22c92
151c0595c
hex1392480

20522112 has 64 divisors (see below), whose sum is σ = 58719360. Its totient is φ = 6312960.

The previous prime is 20522083. The next prime is 20522113. The reversal of 20522112 is 21122502.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 20522091 and 20522100.

It is not an unprimeable number, because it can be changed into a prime (20522113) 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, 2937 + ... + 7047.

It is an arithmetic number, because the mean of its divisors is an integer number (917490).

Almost surely, 220522112 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 20522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29359680).

20522112 is an abundant number, since it is smaller than the sum of its proper divisors (38197248).

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

20522112 is a wasteful number, since it uses less digits than its factorization.

20522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 20522112 is about 4530.1337728593. The cubic root of 20522112 is about 273.7835504427.

Adding to 20522112 its reverse (21122502), we get a palindrome (41644614).

The spelling of 20522112 in words is "twenty million, five hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4111 4992 8222 12333 16444 24666 32888 49332 53443 65776 98664 106886 131552 160329 197328 213772 263104 320658 394656 427544 526208 641316 789312 855088 1282632 1578624 1710176 2565264 3420352 5130528 6840704 10261056 20522112