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225330033522 = 231123718674493
BaseRepresentation
bin1101000111011010110…
…1110111001101110010
3210112121122012201012010
43101312231313031302
512142433442033042
6251303140343350
722164613453146
oct3216655671562
9715548181163
10225330033522
118761aa25300
12378066a4b56
131833003a7a9
14ac98219226
155cdc0d959c
hex3476b77372

225330033522 has 96 divisors (see below), whose sum is σ = 509127345216. Its totient is φ = 66386010240.

The previous prime is 225330033503. The next prime is 225330033541.

225330033522 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (225330033503) and next prime (225330033541).

It is a self number, because there is not a number n which added to its sum of digits gives 225330033522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50149108 + ... + 50153600.

It is an arithmetic number, because the mean of its divisors is an integer number (5303409846).

Almost surely, 2225330033522 is an apocalyptic number.

225330033522 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 225330033522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254563672608).

225330033522 is an abundant number, since it is smaller than the sum of its proper divisors (283797311694).

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

225330033522 is a wasteful number, since it uses less digits than its factorization.

225330033522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

It can be divided in two parts, 2253300 and 33522, that added together give a palindrome (2286822).

The spelling of 225330033522 in words is "two hundred twenty-five billion, three hundred thirty million, thirty-three thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 1867 2442 3734 4477 4493 5601 8954 8986 11202 13431 13479 20537 26862 26958 41074 49423 61611 69079 98846 123222 138158 148269 166241 207237 225907 296538 332482 414474 451814 498723 543653 677721 759869 997446 1087306 1355442 1519738 1630959 1828651 2279607 3261918 3657302 4559214 5485953 8358559 8388431 10971906 16717118 16776862 20115161 25075677 25165293 40230322 50151354 50330586 60345483 92272741 120690966 184545482 276818223 310371947 553636446 620743894 931115841 1015000151 1862231682 2030000302 3045000453 3414091417 6090000906 6828182834 10242274251 20484548502 37555005587 75110011174 112665016761 225330033522