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20822112 = 2532197367
BaseRepresentation
bin100111101101…
…1100001100000
31110011212120100
41033123201200
520312301422
62022142400
7341661603
oct117334140
943155510
1020822112
1110831a63
126b81a00
13441069c
142aa033a
151c647ac
hex13db860

20822112 has 72 divisors (see below), whose sum is σ = 59675616. Its totient is φ = 6886656.

The previous prime is 20822101. The next prime is 20822143. The reversal of 20822112 is 21122802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56553 + ... + 56919.

It is an arithmetic number, because the mean of its divisors is an integer number (828828).

Almost surely, 220822112 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 20822112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29837808).

20822112 is an abundant number, since it is smaller than the sum of its proper divisors (38853504).

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

20822112 is a wasteful number, since it uses less digits than its factorization.

20822112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20822112 is about 4563.1252448295. The cubic root of 20822112 is about 275.1111925003. Note that the first 4 decimals are identical.

Adding to 20822112 its reverse (21122802), we get a palindrome (41944914).

The spelling of 20822112 in words is "twenty million, eight hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 367 394 591 734 788 1101 1182 1468 1576 1773 2202 2364 2936 3152 3303 3546 4404 4728 5872 6304 6606 7092 8808 9456 11744 13212 14184 17616 18912 26424 28368 35232 52848 56736 72299 105696 144598 216897 289196 433794 578392 650691 867588 1156784 1301382 1735176 2313568 2602764 3470352 5205528 6940704 10411056 20822112