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225232504332 = 2231110752330491
BaseRepresentation
bin1101000111000011100…
…1110100011000001100
3210112100211200201021220
43101300321310120030
512142234010114312
6251245334123340
722162320461403
oct3216071643014
9715324621256
10225232504332
118757a971170
1237799ab0550
1318315a80804
14ac892ac63a
155cd3771c8c
hex3470e7460c

225232504332 has 96 divisors (see below), whose sum is σ = 579802696704. Its totient is φ = 67482907200.

The previous prime is 225232504253. The next prime is 225232504333. The reversal of 225232504332 is 233405232522.

225232504332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 225232504293 and 225232504302.

It is not an unprimeable number, because it can be changed into a prime (225232504333) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7371607 + ... + 7402097.

It is an arithmetic number, because the mean of its divisors is an integer number (6039611424).

Almost surely, 2225232504332 is an apocalyptic number.

225232504332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225232504332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289901348352).

225232504332 is an abundant number, since it is smaller than the sum of its proper divisors (354570192372).

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

225232504332 is a wasteful number, since it uses less digits than its factorization.

225232504332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31139 (or 31137 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 225232504332 its reverse (233405232522), we get a palindrome (458637736854).

The spelling of 225232504332 in words is "two hundred twenty-five billion, two hundred thirty-two million, five hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 523 642 1046 1177 1284 1569 2092 2354 3138 3531 4708 5753 6276 7062 11506 14124 17259 23012 30491 34518 55961 60982 69036 91473 111922 121964 167883 182946 223844 335401 335766 365892 615571 670802 671532 1006203 1231142 1341604 1846713 2012406 2462284 3262537 3693426 4024812 6525074 7386852 9787611 13050148 15946793 19575222 31893586 35887907 39150444 47840379 63787172 71775814 95680758 107663721 143551628 175414723 191361516 215327442 350829446 430654884 526244169 701658892 1052488338 1706306851 2104976676 3412613702 5118920553 6825227404 10237841106 18769375361 20475682212 37538750722 56308126083 75077501444 112616252166 225232504332