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2222121000 = 2335311172233
BaseRepresentation
bin1000010001110010…
…1110000000101000
312201212022102221210
42010130232000220
514022330333000
61004255433120
7106031500611
oct20434560050
95655272853
102222121000
11a40369440
125202257a0
132954a82c8
14171198c08
15d013b350
hex8472e028

2222121000 has 384 divisors, whose sum is σ = 8068844160. Its totient is φ = 504832000.

The previous prime is 2222120987. The next prime is 2222121007. The reversal of 2222121000 is 1212222.

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

It is not an unprimeable number, because it can be changed into a prime (2222121007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9536884 + ... + 9537116.

It is an arithmetic number, because the mean of its divisors is an integer number (21012615).

Almost surely, 22222121000 is an apocalyptic number.

2222121000 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 2222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034422080).

2222121000 is an abundant number, since it is smaller than the sum of its proper divisors (5846723160).

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

2222121000 is a wasteful number, since it uses less digits than its factorization.

2222121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2222121000 is about 47139.3784430809. The cubic root of 2222121000 is about 1304.9360665087.

Adding to 2222121000 its reverse (1212222), we get a palindrome (2223333222).

The spelling of 2222121000 in words is "two billion, two hundred twenty-two million, one hundred twenty-one thousand".