Search a number
-
+
2202012112200 = 2335223916219473
BaseRepresentation
bin100000000010110010001…
…001100101010101001000
321210111210000021102111120
4200002302021211111020
5242034210100042300
64403331305355240
7315042625061265
oct40026211452510
97714700242446
102202012112200
1177996048172a
122b6921498b20
1312c8586ab984
1478813ca026c
153c42ce083a0
hex200b2265548

2202012112200 has 192 divisors, whose sum is σ = 6859752019200. Its totient is φ = 584323891200.

The previous prime is 2202012112193. The next prime is 2202012112231. The reversal of 2202012112200 is 22112102022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2202012112200.

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, 232446664 + ... + 232456136.

It is an arithmetic number, because the mean of its divisors is an integer number (35727875100).

Almost surely, 22202012112200 is an apocalyptic number.

2202012112200 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 2202012112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429876009600).

2202012112200 is an abundant number, since it is smaller than the sum of its proper divisors (4657739907000).

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

2202012112200 is a wasteful number, since it uses less digits than its factorization.

2202012112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2202012112200 its reverse (22112102022), we get a palindrome (2224124214222).

The spelling of 2202012112200 in words is "two trillion, two hundred two billion, twelve million, one hundred twelve thousand, two hundred".