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20221056 = 27335851
BaseRepresentation
bin100110100100…
…0110010000000
31102001100002000
41031020302000
520134033211
62001224000
7333606342
oct115106200
942040060
1020221056
1110461419
126932000
13425cc2b
142985292
151b96656
hex1348c80

20221056 has 64 divisors (see below), whose sum is σ = 59690400. Its totient is φ = 6739200.

The previous prime is 20221049. The next prime is 20221079. The reversal of 20221056 is 65012202.

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

It is a super-2 number, since 2×202210562 = 817782211510272, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 6381.

Almost surely, 220221056 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 20221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29845200).

20221056 is an abundant number, since it is smaller than the sum of its proper divisors (39469344).

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

20221056 is an equidigital number, since it uses as much as digits as its factorization.

20221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20221056 is about 4496.7828499940. The cubic root of 20221056 is about 272.4381634512.

Adding to 20221056 its reverse (65012202), we get a palindrome (85233258).

The spelling of 20221056 in words is "twenty million, two hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5851 11702 17553 23404 35106 46808 52659 70212 93616 105318 140424 157977 187232 210636 280848 315954 374464 421272 561696 631908 748928 842544 1123392 1263816 1685088 2246784 2527632 3370176 5055264 6740352 10110528 20221056