Search a number
-
+
225126037732 = 2219131160714071
BaseRepresentation
bin1101000110101010001…
…1101011100011100100
3210112002102100122120111
43101222203223203210
512142024231201412
6251231012142404
722156555514221
oct3215243534344
9715072318514
10225126037732
1187525863242
123776a307a04
13182c99b481b
14ac790b6948
155cc92412a7
hex346a8eb8e4

225126037732 has 48 divisors (see below), whose sum is σ = 418161300480. Its totient is φ = 105751245600.

The previous prime is 225126037723. The next prime is 225126037847. The reversal of 225126037732 is 237730621522.

225126037732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2251260377323 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

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, 15992257 + ... + 16006327.

It is an arithmetic number, because the mean of its divisors is an integer number (8711693760).

Almost surely, 2225126037732 is an apocalyptic number.

It is an amenable number.

225126037732 is a deficient number, since it is larger than the sum of its proper divisors (193035262748).

225126037732 is a wasteful number, since it uses less digits than its factorization.

225126037732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15832 (or 15830 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 225126037732 in words is "two hundred twenty-five billion, one hundred twenty-six million, thirty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 4 19 38 76 131 262 524 1607 2489 3214 4978 6428 9956 14071 28142 30533 56284 61066 122132 210517 267349 421034 534698 842068 1069396 1843301 3686602 3999823 7373204 7999646 15999292 22612097 35022719 45224194 70045438 90448388 140090876 429629843 859259686 1718519372 2962184707 5924369414 11848738828 56281509433 112563018866 225126037732