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10221472 = 25378997
BaseRepresentation
bin100110111111…
…011110100000
3201020022020001
4212333132200
510104041342
61003025344
7152611132
oct46773640
921208201
1010221472
1158515a8
12350b254
13216b611
141501052
15d6d8b7
hex9bf7a0

10221472 has 48 divisors (see below), whose sum is σ = 21115080. Its totient is φ = 4866048.

The previous prime is 10221469. The next prime is 10221481. The reversal of 10221472 is 27412201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8976016 + 1245456 = 2996^2 + 1116^2 .

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, 105328 + ... + 105424.

Almost surely, 210221472 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 10221472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10557540).

10221472 is an abundant number, since it is smaller than the sum of its proper divisors (10893608).

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

10221472 is an equidigital number, since it uses as much as digits as its factorization.

10221472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 10221472 is about 3197.1036892788. The cubic root of 10221472 is about 217.0223596064.

Adding to 10221472 its reverse (27412201), we get a palindrome (37633673).

The spelling of 10221472 in words is "ten million, two hundred twenty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 74 89 97 148 178 194 296 356 388 592 712 776 1184 1424 1552 2848 3104 3293 3589 6586 7178 8633 13172 14356 17266 26344 28712 34532 52688 57424 69064 105376 114848 138128 276256 319421 638842 1277684 2555368 5110736 10221472