Search a number
-
+
2002200120 = 23345617963
BaseRepresentation
bin111011101010111…
…0010011000111000
312011112111022020000
41313111302120320
513100030400440
6530402033000
7100421264064
oct16725623070
95145438200
102002200120
1193820a648
1247a648760
1325ba678cb
1414dcacaa4
15bab99730
hex77572638

2002200120 has 80 divisors (see below), whose sum is σ = 6729627960. Its totient is φ = 533919168.

The previous prime is 2002200113. The next prime is 2002200121. The reversal of 2002200120 is 210022002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002200121) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 305742 + ... + 312221.

Almost surely, 22002200120 is an apocalyptic number.

2002200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002200120 is an abundant number, since it is smaller than the sum of its proper divisors (4727427840).

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

2002200120 is a wasteful number, since it uses less digits than its factorization.

2002200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617986 (or 617973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002200120 is about 44745.9508782638. The cubic root of 2002200120 is about 1260.3828768405.

Adding to 2002200120 its reverse (210022002), we get a palindrome (2212222122).

The spelling of 2002200120 in words is "two billion, two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 617963 1235926 1853889 2471852 3089815 3707778 4943704 5561667 6179630 7415556 9269445 11123334 12359260 14831112 16685001 18538890 22246668 24718520 27808335 33370002 37077780 44493336 50055003 55616670 66740004 74155560 83425005 100110006 111233340 133480008 166850010 200220012 222466680 250275015 333700020 400440024 500550030 667400040 1001100060 2002200120