Search a number
-
+
2202112220000 = 25547111429943
BaseRepresentation
bin100000000010111000000…
…111011101101101100000
321210112000222122102120212
4200002320013131231200
5242034411212020000
64403345243153252
7315045252012620
oct40027007355540
97715028572525
102202112220000
11779a01a37150
122b694ab15828
1312c87335c564
14788232bc880
153c436acec35
hex200b81ddb60

2202112220000 has 240 divisors, whose sum is σ = 6754323324672. Its totient is φ = 686372160000.

The previous prime is 2202112219981. The next prime is 2202112220003. The reversal of 2202112220000 is 222112022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202112220003) 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 39 ways as a sum of consecutive naturals, for example, 825029 + ... + 2254971.

Almost surely, 22202112220000 is an apocalyptic number.

2202112220000 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 2202112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377161662336).

2202112220000 is an abundant number, since it is smaller than the sum of its proper divisors (4552211104672).

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

2202112220000 is a wasteful number, since it uses less digits than its factorization.

2202112220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429991 (or 1429968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202112220000 its reverse (222112022), we get a palindrome (2202334332022).

The spelling of 2202112220000 in words is "two trillion, two hundred two billion, one hundred twelve million, two hundred twenty thousand".