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332420224224 = 25311563559133
BaseRepresentation
bin1001101011001011100…
…10100001010011100000
31011210000221022001121110
410311211302201103200
520421244034133344
6412413423023320
733005453166444
oct4654562412340
91153027261543
10332420224224
11118a84606640
1254512a3ab40
1325468740b3a
1412136b92824
1589a8a063b9
hex4d65ca14e0

332420224224 has 96 divisors (see below), whose sum is σ = 953623165824. Its totient is φ = 100554298880.

The previous prime is 332420224217. The next prime is 332420224261. The reversal of 332420224224 is 422422024233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3324202242242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332420224191 and 332420224200.

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 15 ways as a sum of consecutive naturals, for example, 314962 + ... + 874094.

It is an arithmetic number, because the mean of its divisors is an integer number (9933574644).

Almost surely, 2332420224224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332420224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476811582912).

332420224224 is an abundant number, since it is smaller than the sum of its proper divisors (621202941600).

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

332420224224 is a wasteful number, since it uses less digits than its factorization.

332420224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559720 (or 559712 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 332420224224 its reverse (422422024233), we get a palindrome (754842248457).

Subtracting 332420224224 from its reverse (422422024233), we obtain a square (90001800009 = 3000032).

The spelling of 332420224224 in words is "three hundred thirty-two billion, four hundred twenty million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 563 1056 1126 1689 2252 3378 4504 6193 6756 9008 12386 13512 18016 18579 24772 27024 37158 49544 54048 74316 99088 148632 198176 297264 559133 594528 1118266 1677399 2236532 3354798 4473064 6150463 6709596 8946128 12300926 13419192 17892256 18451389 24601852 26838384 36902778 49203704 53676768 73805556 98407408 147611112 196814816 295222224 314791879 590444448 629583758 944375637 1259167516 1888751274 2518335032 3462710669 3777502548 5036670064 6925421338 7555005096 10073340128 10388132007 13850842676 15110010192 20776264014 27701685352 30220020384 41552528028 55403370704 83105056056 110806741408 166210112112 332420224224