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225651875360 = 2551772979549
BaseRepresentation
bin1101001000100111100…
…1100101111000100000
3210120110001210222012012
43102021321211320200
512144113340002420
6251355114452052
722205602202432
oct3221171457040
9716401728165
10225651875360
118777566789a
1237896434028
1318381915152
14acc8c76652
155d0a4aedc5
hex3489e65e20

225651875360 has 48 divisors (see below), whose sum is σ = 533139327000. Its totient is φ = 90254524416.

The previous prime is 225651875353. The next prime is 225651875381. The reversal of 225651875360 is 63578156522.

225651875360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 225651600784 + 274576 = 475028^2 + 524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225651875299 and 225651875308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2796866 + ... + 2876414.

Almost surely, 2225651875360 is an apocalyptic number.

225651875360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225651875360 is an abundant number, since it is smaller than the sum of its proper divisors (307487451640).

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

225651875360 is a wasteful number, since it uses less digits than its factorization.

225651875360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97293 (or 97285 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 50.

It can be divided in two parts, 225651 and 875360, that added together give a palindrome (1101011).

The spelling of 225651875360 in words is "two hundred twenty-five billion, six hundred fifty-one million, eight hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 17729 35458 70916 79549 88645 141832 159098 177290 283664 318196 354580 397745 567328 636392 709160 795490 1272784 1418320 1590980 2545568 2836640 3181960 6363920 12727840 1410324221 2820648442 5641296884 7051621105 11282593768 14103242210 22565187536 28206484420 45130375072 56412968840 112825937680 225651875360