Search a number
-
+
2002361025 = 3527231391193
BaseRepresentation
bin111011101011001…
…1001101011000001
312011112210110221110
41313112121223001
513100101023100
6530405313533
7100422534150
oct16726315301
95145713843
102002361025
1193830a525
1247a7058a9
1325bac2c12
1414dd11597
15babcc250
hex77599ac1

2002361025 has 96 divisors (see below), whose sum is σ = 3979745280. Its totient is φ = 868538880.

The previous prime is 2002361003. The next prime is 2002361059. The reversal of 2002361025 is 5201632002.

It is not a de Polignac number, because 2002361025 - 221 = 2000263873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2002360992 and 2002361010.

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 95 ways as a sum of consecutive naturals, for example, 1677829 + ... + 1679021.

It is an arithmetic number, because the mean of its divisors is an integer number (41455680).

Almost surely, 22002361025 is an apocalyptic number.

2002361025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2002361025 is a deficient number, since it is larger than the sum of its proper divisors (1977384255).

2002361025 is a wasteful number, since it uses less digits than its factorization.

2002361025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2002361025 is about 44747.7488260583. The cubic root of 2002361025 is about 1260.4166391124.

Adding to 2002361025 its reverse (5201632002), we get a palindrome (7203993027).

The spelling of 2002361025 in words is "two billion, two million, three hundred sixty-one thousand, twenty-five".

Divisors: 1 3 5 7 15 21 23 25 35 69 75 105 115 139 161 175 345 417 483 525 575 695 805 973 1193 1725 2085 2415 2919 3197 3475 3579 4025 4865 5965 8351 9591 10425 12075 14595 15985 17895 22379 24325 25053 27439 29825 41755 47955 67137 72975 79925 82317 89475 111895 125265 137195 165827 192073 208775 239775 335685 411585 497481 559475 576219 626325 685975 829135 960365 1160789 1678425 2057925 2487405 2881095 3482367 3814021 4145675 4801825 5803945 11442063 12437025 14405475 17411835 19070105 26698147 29019725 57210315 80094441 87059175 95350525 133490735 286051575 400472205 667453675 2002361025