Search a number
-
+
2202201111000 = 2335311167399601
BaseRepresentation
bin100000000010111101011…
…010100011100111011000
321210112021011220120010010
4200002331122203213120
5242040101441023000
64403402140321520
7315050411406222
oct40027532434730
97715234816103
102202201111000
11779a48130290
122b69748432a0
1312c8888b3797
147883101b412
153c43e7dcd50
hex200bd6a39d8

2202201111000 has 256 divisors, whose sum is σ = 7540393835520. Its totient is φ = 530668800000.

The previous prime is 2202201110999. The next prime is 2202201111029. The reversal of 2202201111000 is 1111022022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5311200 + ... + 5710800.

It is an arithmetic number, because the mean of its divisors is an integer number (29454663420).

Almost surely, 22202201111000 is an apocalyptic number.

2202201111000 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 2202201111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770196917760).

2202201111000 is an abundant number, since it is smaller than the sum of its proper divisors (5338192724520).

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

2202201111000 is a wasteful number, since it uses less digits than its factorization.

2202201111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399803 (or 399789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2202201111000 its reverse (1111022022), we get a palindrome (2203312133022).

The spelling of 2202201111000 in words is "two trillion, two hundred two billion, two hundred one million, one hundred eleven thousand".