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21222656 = 28713911
BaseRepresentation
bin101000011110…
…1010100000000
31110221020000022
41100331110000
520413111111
62034513012
7345250430
oct120752400
943836008
1021222656
1110a85994
127135768
134520ab0
142b662c0
151ce32db
hex143d500

21222656 has 72 divisors (see below), whose sum is σ = 52195584. Its totient is φ = 8386560.

The previous prime is 21222653. The next prime is 21222671. The reversal of 21222656 is 65622212.

It is a super-2 number, since 2×212226562 = 900802255388672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222653) 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, 22841 + ... + 23751.

Almost surely, 221222656 is an apocalyptic number.

21222656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26097792).

21222656 is an abundant number, since it is smaller than the sum of its proper divisors (30972928).

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

21222656 is an equidigital number, since it uses as much as digits as its factorization.

21222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 933 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 21222656 is about 4606.8054007088. The cubic root of 21222656 is about 276.8640568111.

Adding to 21222656 its reverse (65622212), we get a palindrome (86844868).

The spelling of 21222656 in words is "twenty-one million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 911 1456 1664 1792 1822 2912 3328 3644 5824 6377 7288 11648 11843 12754 14576 23296 23686 25508 29152 47372 51016 58304 82901 94744 102032 116608 165802 189488 204064 233216 331604 378976 408128 663208 757952 816256 1326416 1515904 1632512 2652832 3031808 5305664 10611328 21222656