Search a number
-
+
2010230222200 = 23521731155312281
BaseRepresentation
bin11101010000001011000…
…011101110110101111000
321010011202101210222120121
4131100023003232311320
5230413422414102300
64135253110103024
7265143243646534
oct35201303566570
97104671728517
102010230222200
11705596610182
1228571a04aa74
13117743b5aca5
146d41d420bc4
15374561b481a
hex1d40b0eed78

2010230222200 has 192 divisors, whose sum is σ = 5112055307520. Its totient is φ = 731848704000.

The previous prime is 2010230222159. The next prime is 2010230222213. The reversal of 2010230222200 is 22220320102.

It is a super-2 number, since 2×20102302222002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163680060 + ... + 163692340.

It is an arithmetic number, because the mean of its divisors is an integer number (26625288060).

Almost surely, 22010230222200 is an apocalyptic number.

2010230222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010230222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556027653760).

2010230222200 is an abundant number, since it is smaller than the sum of its proper divisors (3101825085320).

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

2010230222200 is a wasteful number, since it uses less digits than its factorization.

2010230222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13898 (or 13889 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2010230222200 its reverse (22220320102), we get a palindrome (2032450542302).

The spelling of 2010230222200 in words is "two trillion, ten billion, two hundred thirty million, two hundred twenty-two thousand, two hundred".