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225522424350 = 23252977512959
BaseRepresentation
bin1101001000001000101…
…1110001101000011110
3210120010001020011210100
43102002023301220132
512143332220034400
6251334212121530
722202440656306
oct3220213615036
9716101204710
10225522424350
1187709590393
123785b0062a6
1318360b5c512
14acb59ba606
155cede3e100
hex34822f1a1e

225522424350 has 72 divisors (see below), whose sum is σ = 606524929920. Its totient is φ = 60077640960.

The previous prime is 225522424321. The next prime is 225522424411. The reversal of 225522424350 is 53424225522.

225522424350 is a `hidden beast` number, since 2 + 2 + 5 + 522 + 42 + 43 + 50 = 666.

It is a Curzon number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 183171 + ... + 696129.

It is an arithmetic number, because the mean of its divisors is an integer number (8423957360).

Almost surely, 2225522424350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225522424350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303262464960).

225522424350 is an abundant number, since it is smaller than the sum of its proper divisors (381002505570).

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

225522424350 is a wasteful number, since it uses less digits than its factorization.

225522424350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513954 (or 513946 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 225522424350 its reverse (53424225522), we get a palindrome (278946649872).

The spelling of 225522424350 in words is "two hundred twenty-five billion, five hundred twenty-two million, four hundred twenty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 977 1954 2931 4885 5862 8793 9770 14655 17586 24425 29310 43965 48850 73275 87930 146550 219825 439650 512959 1025918 1538877 2564795 3077754 4616631 5129590 7694385 9233262 12823975 15388770 23083155 25647950 38471925 46166310 76943850 115415775 230831550 501160943 1002321886 1503482829 2505804715 3006965658 4510448487 5011609430 7517414145 9020896974 12529023575 15034828290 22552242435 25058047150 37587070725 45104484870 75174141450 112761212175 225522424350