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225475315440 = 2435939480481
BaseRepresentation
bin1101000111111101100…
…0000100011011110000
3210112222202120210111220
43101333120010123300
512143233140043230
6251325410305040
722201326362454
oct3217730043360
9715882523456
10225475315440
1187694a34801
1237847288180
131835417701b
14acad636664
155ce9c35d10
hex347f6046f0

225475315440 has 40 divisors (see below), whose sum is σ = 698973478608. Its totient is φ = 60126750720.

The previous prime is 225475315427. The next prime is 225475315447. The reversal of 225475315440 is 44513574522.

It is a happy number.

225475315440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 225475315392 and 225475315401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225475315447) 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 7 ways as a sum of consecutive naturals, for example, 469740001 + ... + 469740480.

Almost surely, 2225475315440 is an apocalyptic number.

225475315440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225475315440 is an abundant number, since it is smaller than the sum of its proper divisors (473498163168).

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

225475315440 is a wasteful number, since it uses less digits than its factorization.

225475315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939480497 (or 939480491 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

Adding to 225475315440 its reverse (44513574522), we get a palindrome (269988889962).

The spelling of 225475315440 in words is "two hundred twenty-five billion, four hundred seventy-five million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 939480481 1878960962 2818441443 3757921924 4697402405 5636882886 7515843848 9394804810 11273765772 14092207215 15031687696 18789609620 22547531544 28184414430 37579219240 45095063088 56368828860 75158438480 112737657720 225475315440