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2002334420 = 2254710320681
BaseRepresentation
bin111011101011001…
…0011001011010100
312011112202010110002
41313112103023110
513100044200140
6530404550432
7100422363452
oct16726231324
95145663402
102002334420
119382a1539
1247a6b2418
1325bab3a88
1414dd059d2
15babc4415
hex775932d4

2002334420 has 48 divisors (see below), whose sum is σ = 4336270848. Its totient is φ = 776244480.

The previous prime is 2002334419. The next prime is 2002334441. The reversal of 2002334420 is 244332002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002334392 and 2002334401.

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, 86480 + ... + 107160.

It is an arithmetic number, because the mean of its divisors is an integer number (90338976).

Almost surely, 22002334420 is an apocalyptic number.

2002334420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002334420 is an abundant number, since it is smaller than the sum of its proper divisors (2333936428).

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

2002334420 is a wasteful number, since it uses less digits than its factorization.

2002334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840 (or 20838 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2002334420 is about 44747.4515475463. The cubic root of 2002334420 is about 1260.4110567802.

Adding to 2002334420 its reverse (244332002), we get a palindrome (2246666422).

The spelling of 2002334420 in words is "two billion, two million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 103 188 206 235 412 470 515 940 1030 2060 4841 9682 19364 20681 24205 41362 48410 82724 96820 103405 206810 413620 972007 1944014 2130143 3888028 4260286 4860035 8520572 9720070 10650715 19440140 21301430 42602860 100116721 200233442 400466884 500583605 1001167210 2002334420