Search a number
-
+
2222210001000 = 2335311118756731
BaseRepresentation
bin100000010101100110000…
…010011010100001101000
321212102220122011111011010
4200111212002122201220
5242402041230013000
64420511424303520
7316356302230413
oct40254602324150
97772818144133
102222210001000
11787485681510
122ba819771ba0
13131727081972
14797ac578b7a
153cc11212d50
hex2056609a868

2222210001000 has 256 divisors, whose sum is σ = 7570100229120. Its totient is φ = 538254240000.

The previous prime is 2222210000971. The next prime is 2222210001023. The reversal of 2222210001000 is 1000122222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39142635 + ... + 39199365.

It is an arithmetic number, because the mean of its divisors is an integer number (29570704020).

Almost surely, 22222210001000 is an apocalyptic number.

2222210001000 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 2222210001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785050114560).

2222210001000 is an abundant number, since it is smaller than the sum of its proper divisors (5347890228120).

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

2222210001000 is a wasteful number, since it uses less digits than its factorization.

2222210001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57953 (or 57939 counting only the distinct ones).

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

Adding to 2222210001000 its reverse (1000122222), we get a palindrome (2223210123222).

The spelling of 2222210001000 in words is "two trillion, two hundred twenty-two billion, two hundred ten million, one thousand".