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225663366522 = 231137220341947
BaseRepresentation
bin1101001000101010010…
…1011011010101111010
3210120110212102210002210
43102022211123111322
512144124310212042
6251400205035550
722206101652366
oct3221245332572
9716425383083
10225663366522
11877810a6320
123789a255bb6
1318384109659
14acca5c82a6
155d0b4cea9c
hex348a95b57a

225663366522 has 64 divisors (see below), whose sum is σ = 505904961024. Its totient is φ = 66502866240.

The previous prime is 225663366499. The next prime is 225663366563.

225663366522 is nontrivially palindromic in base 10.

225663366522 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5358753 + ... + 5400699.

It is an arithmetic number, because the mean of its divisors is an integer number (7904765016).

Almost surely, 2225663366522 is an apocalyptic number.

225663366522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225663366522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252952480512).

225663366522 is an abundant number, since it is smaller than the sum of its proper divisors (280241594502).

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

225663366522 is a wasteful number, since it uses less digits than its factorization.

225663366522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44203.

The product of its digits is 4665600, while the sum is 48.

The spelling of 225663366522 in words is "two hundred twenty-five billion, six hundred sixty-three million, three hundred sixty-six thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2203 2442 4406 6609 13218 24233 41947 48466 72699 81511 83894 125841 145398 163022 244533 251682 461417 489066 896621 922834 1384251 1552039 1793242 2689863 2768502 3104078 4656117 5379726 9312234 17072429 34144858 51217287 92409241 102434574 184818482 277227723 554455446 1016501651 2033003302 3049504953 3419141917 6099009906 6838283834 10257425751 20514851502 37610561087 75221122174 112831683261 225663366522