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332430403220 = 225731434115877
BaseRepresentation
bin1001101011001100110…
…01010110011010010100
31011210001122110012120022
410311212121112122110
520421304140400340
6412414425124312
733005635543016
oct4654631263224
91153048405508
10332430403220
11118a8a329233
1254516329698
132546a896006
14121382821b6
1589a98673b5
hex4d66656694

332430403220 has 48 divisors (see below), whose sum is σ = 707760833808. Its totient is φ = 131133219840.

The previous prime is 332430403219. The next prime is 332430403313. The reversal of 332430403220 is 22304034233.

It can be written as a sum of positive squares in 8 ways, for example, as 133494916 + 332296908304 = 11554^2 + 576452^2 .

It is a super-2 number, since 2×3324304032202 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332430403220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20929922 + ... + 20945798.

It is an arithmetic number, because the mean of its divisors is an integer number (14745017371).

Almost surely, 2332430403220 is an apocalyptic number.

It is an amenable number.

332430403220 is an abundant number, since it is smaller than the sum of its proper divisors (375330430588).

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

332430403220 is a wasteful number, since it uses less digits than its factorization.

332430403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30300 (or 30298 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 332430403220 its reverse (22304034233), we get a palindrome (354734437453).

The spelling of 332430403220 in words is "three hundred thirty-two billion, four hundred thirty million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 14341 15877 28682 31754 57364 63508 71705 79385 143410 158770 286820 317540 1046893 1159021 2093786 2318042 4187572 4636084 5234465 5795105 10468930 11590210 20937860 23180420 227692057 455384114 910768228 1138460285 2276920570 4553841140 16621520161 33243040322 66486080644 83107600805 166215201610 332430403220