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21225456 = 243377019
BaseRepresentation
bin101000011110…
…1111111110000
31110221100212000
41100331333300
520413203311
62034534000
7345261540
oct120757760
943840760
1021225456
1110a87aaa
127137300
134522155
142b67320
151ce4056
hex143dff0

21225456 has 80 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 6063552.

The previous prime is 21225437. The next prime is 21225473. The reversal of 21225456 is 65452212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486 + ... + 6533.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 221225456 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 21225456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

21225456 is an abundant number, since it is smaller than the sum of its proper divisors (48412944).

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

21225456 is a wasteful number, since it uses less digits than its factorization.

21225456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7031 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 21225456 is about 4607.1092889143. The cubic root of 21225456 is about 276.8762322471.

Adding to 21225456 its reverse (65452212), we get a palindrome (86677668).

The spelling of 21225456 in words is "twenty-one million, two hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 7019 14038 21057 28076 42114 49133 56152 63171 84228 98266 112304 126342 147399 168456 189513 196532 252684 294798 336912 379026 393064 442197 505368 589596 758052 786128 884394 1010736 1179192 1326591 1516104 1768788 2358384 2653182 3032208 3537576 5306364 7075152 10612728 21225456