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225186128748 = 223271277036187
BaseRepresentation
bin1101000110111000100…
…0111010001101101100
3210112020121102120221200
43101232020322031230
512142140122104443
6251241000125500
722161215340540
oct3215610721554
9715217376850
10225186128748
1187556776539
1237786466890
1318309294039
14ac83079a20
155cce660dd3
hex346e23a36c

225186128748 has 72 divisors (see below), whose sum is σ = 655660142592. Its totient is φ = 63832279392.

The previous prime is 225186128743. The next prime is 225186128759. The reversal of 225186128748 is 847821681522.

225186128748 is a `hidden beast` number, since 2 + 2 + 5 + 18 + 612 + 8 + 7 + 4 + 8 = 666.

225186128748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 225186128694 and 225186128703.

It is not an unprimeable number, because it can be changed into a prime (225186128743) 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 23 ways as a sum of consecutive naturals, for example, 3486090 + ... + 3550097.

Almost surely, 2225186128748 is an apocalyptic number.

225186128748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225186128748 is an abundant number, since it is smaller than the sum of its proper divisors (430474013844).

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

225186128748 is a wasteful number, since it uses less digits than its factorization.

225186128748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036331 (or 7036326 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 225186128748 in words is "two hundred twenty-five billion, one hundred eighty-six million, one hundred twenty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 8001 10668 16002 32004 7036187 14072374 21108561 28144748 42217122 49253309 63325683 84434244 98506618 126651366 147759927 197013236 253302732 295519854 443279781 591039708 886559562 893595749 1773119124 1787191498 2680787247 3574382996 5361574494 6255170243 8042361741 10723148988 12510340486 16084723482 18765510729 25020680972 32169446964 37531021458 56296532187 75062042916 112593064374 225186128748