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1331032220 = 225719349261
BaseRepresentation
bin100111101010101…
…1111000010011100
310102202120102221122
41033111133002130
510211221012340
6340024350112
744661405260
oct11725370234
93382512848
101331032220
11623373231
12311915338
131829b1a3b
14c8abc0a0
157bcbedb5
hex4f55f09c

1331032220 has 48 divisors (see below), whose sum is σ = 3211094208. Its totient is φ = 453980160.

The previous prime is 1331032207. The next prime is 1331032231. The reversal of 1331032220 is 222301331.

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, 2390 + ... + 51650.

It is an arithmetic number, because the mean of its divisors is an integer number (66897796).

Almost surely, 21331032220 is an apocalyptic number.

1331032220 is a gapful number since it is divisible by the number (10) 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 1331032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605547104).

1331032220 is an abundant number, since it is smaller than the sum of its proper divisors (1880061988).

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

1331032220 is a wasteful number, since it uses less digits than its factorization.

1331032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49470 (or 49468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1331032220 is about 36483.3142683063. The cubic root of 1331032220 is about 1100.0088759614.

Adding to 1331032220 its reverse (222301331), we get a palindrome (1553333551).

The spelling of 1331032220 in words is "one billion, three hundred thirty-one million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1351 1930 2702 3860 5404 6755 13510 27020 49261 98522 197044 246305 344827 492610 689654 985220 1379308 1724135 3448270 6896540 9507373 19014746 38029492 47536865 66551611 95073730 133103222 190147460 266206444 332758055 665516110 1331032220