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10225516 = 227329257
BaseRepresentation
bin100111000000…
…011101101100
3201020111202211
4213000131230
510104204031
61003100204
7152626000
oct47003554
921214684
1010225516
115854644
123511664
132170402
141502700
15d6ebb1
hex9c076c

10225516 has 48 divisors (see below), whose sum is σ = 21672000. Its totient is φ = 4214784.

The previous prime is 10225507. The next prime is 10225519. The reversal of 10225516 is 61552201.

It is a super-2 number, since 2×102255162 = 209122354932512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10225519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39660 + ... + 39916.

It is an arithmetic number, because the mean of its divisors is an integer number (451500).

Almost surely, 210225516 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 10225516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10836000).

10225516 is an abundant number, since it is smaller than the sum of its proper divisors (11446484).

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

10225516 is a wasteful number, since it uses less digits than its factorization.

10225516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 10225516 is about 3197.7360741625. The cubic root of 10225516 is about 217.0509765775.

Adding to 10225516 its reverse (61552201), we get a palindrome (71777717).

The spelling of 10225516 in words is "ten million, two hundred twenty-five thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 257 343 406 514 686 812 1028 1372 1421 1799 2842 3598 5684 7196 7453 9947 12593 14906 19894 25186 29812 39788 50372 52171 88151 104342 176302 208684 352604 365197 730394 1460788 2556379 5112758 10225516