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2012202320 = 24595326393
BaseRepresentation
bin111011111101111…
…1100010101010000
312012020022110122212
41313323330111100
513110110433240
6531400251252
7100602303032
oct16773742520
95166273585
102012202320
11942921427
12481a70b28
13260b5a47b
14151353c52
15bb9c3165
hex77efc550

2012202320 has 40 divisors (see below), whose sum is σ = 4683456936. Its totient is φ = 804005888.

The previous prime is 2012202307. The next prime is 2012202337. The reversal of 2012202320 is 232022102.

It can be written as a sum of positive squares in 4 ways, for example, as 120648256 + 1891554064 = 10984^2 + 43492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20122023202 = 8097916353226764800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012202295 and 2012202304.

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 7 ways as a sum of consecutive naturals, for example, 63044 + ... + 89436.

Almost surely, 22012202320 is an apocalyptic number.

2012202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012202320 is an abundant number, since it is smaller than the sum of its proper divisors (2671254616).

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

2012202320 is a wasteful number, since it uses less digits than its factorization.

2012202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27359 (or 27353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2012202320 is about 44857.5781780515. The cubic root of 2012202320 is about 1262.4781830691.

Adding to 2012202320 its reverse (232022102), we get a palindrome (2244224422).

The spelling of 2012202320 in words is "two billion, twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 953 1906 3812 4765 7624 9530 15248 19060 26393 38120 52786 76240 105572 131965 211144 263930 422288 527860 1055720 2111440 25152529 50305058 100610116 125762645 201220232 251525290 402440464 503050580 1006101160 2012202320