Search a number
-
+
2002433221140 = 22351124112589169
BaseRepresentation
bin11101001000111010010…
…100100010001000010100
321002102122000101021212120
4131020322110202020110
5230301440401034030
64131523301215540
7264446106354162
oct35107224421024
97072560337776
102002433221140
11702255393950
12284102a015b0
13116aa06b21b1
146ccbdaba232
153714b917010
hex1d23a522214

2002433221140 has 96 divisors (see below), whose sum is σ = 6141903546240. Its totient is φ = 483424051200.

The previous prime is 2002433221111. The next prime is 2002433221157. The reversal of 2002433221140 is 411223342002.

It is a happy number.

It is a super-2 number, since 2×20024332211402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002433221140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6135525 + ... + 6453644.

It is an arithmetic number, because the mean of its divisors is an integer number (63978161940).

Almost surely, 22002433221140 is an apocalyptic number.

2002433221140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002433221140 is an abundant number, since it is smaller than the sum of its proper divisors (4139470325100).

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

2002433221140 is a wasteful number, since it uses less digits than its factorization.

2002433221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12589433 (or 12589431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2002433221140 its reverse (411223342002), we get a palindrome (2413656563142).

The spelling of 2002433221140 in words is "two trillion, two billion, four hundred thirty-three million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 241 330 482 660 723 964 1205 1446 2410 2651 2892 3615 4820 5302 7230 7953 10604 13255 14460 15906 26510 31812 39765 53020 79530 159060 12589169 25178338 37767507 50356676 62945845 75535014 125891690 138480859 151070028 188837535 251783380 276961718 377675070 415442577 553923436 692404295 755350140 830885154 1384808590 1661770308 2077212885 2769617180 3033989729 4154425770 6067979458 8308851540 9101969187 12135958916 15169948645 18203938374 30339897290 33373887019 36407876748 45509845935 60679794580 66747774038 91019691870 100121661057 133495548076 166869435095 182039383740 200243322114 333738870190 400486644228 500608305285 667477740380 1001216610570 2002433221140