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2002212000 = 25335318539
BaseRepresentation
bin111011101010111…
…0101010010100000
312011112111220112000
41313111311102200
513100031241000
6530402204000
7100421343525
oct16725652240
95145456460
102002212000
11938218568
1247a653600
1325ba70139
1414dcb314c
15bab9d000
hex775754a0

2002212000 has 192 divisors, whose sum is σ = 7288444800. Its totient is φ = 533894400.

The previous prime is 2002211989. The next prime is 2002212007. The reversal of 2002212000 is 2122002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2002212007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98731 + ... + 117269.

It is an arithmetic number, because the mean of its divisors is an integer number (37960650).

Almost surely, 22002212000 is an apocalyptic number.

2002212000 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 2002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644222400).

2002212000 is an abundant number, since it is smaller than the sum of its proper divisors (5286232800).

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

2002212000 is a wasteful number, since it uses less digits than its factorization.

2002212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18573 (or 18549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002212000 is about 44746.0836275087. The cubic root of 2002212000 is about 1260.3853696514.

Adding to 2002212000 its reverse (2122002), we get a palindrome (2004334002).

The spelling of 2002212000 in words is "two billion, two million, two hundred twelve thousand".