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225366530488 = 231129449196681
BaseRepresentation
bin1101000111100011100…
…1000101100110111000
3210112201011212221121121
43101320321011212320
512143022312433423
6251310522515024
722165535621251
oct3217071054670
9715634787547
10225366530488
1187639592a90
1237816965a74
1318337778a28
14ac9cdd9b28
155ce03e845d
hex3478e459b8

225366530488 has 64 divisors (see below), whose sum is σ = 477937260000. Its totient is φ = 98686156800.

The previous prime is 225366530483. The next prime is 225366530503. The reversal of 225366530488 is 884035663522.

225366530488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225366530483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047508 + ... + 1244188.

Almost surely, 2225366530488 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 225366530488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238968630000).

225366530488 is an abundant number, since it is smaller than the sum of its proper divisors (252570729512).

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

225366530488 is a wasteful number, since it uses less digits than its factorization.

225366530488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197176 (or 197172 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 225366530488 in words is "two hundred twenty-five billion, three hundred sixty-six million, five hundred thirty thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 449 638 898 1276 1796 2552 3592 4939 9878 13021 19756 26042 39512 52084 104168 143231 196681 286462 393362 572924 786724 1145848 1573448 2163491 4326982 5703749 8653964 11407498 17307928 22814996 45629992 62741239 88309769 125482478 176619538 250964956 353239076 501929912 706478152 971407459 1942814918 2560983301 3885629836 5121966602 7771259672 10243933204 20487866408 28170816311 56341632622 112683265244 225366530488