Search a number
-
+
22210100000 = 25551161331
BaseRepresentation
bin10100101011110100…
…110011101100100000
32010022212012222111022
4110223310303230200
5330441241200000
614111515305012
71414246510064
oct245364635440
963285188438
1022210100000
119468027950
12437a14b168
13212c53450a
141109a31aa4
1589ecd0585
hex52bd33b20

22210100000 has 288 divisors, whose sum is σ = 60783234624. Its totient is φ = 7920000000.

The previous prime is 22210099999. The next prime is 22210100063. The reversal of 22210100000 is 101222.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 67099835 + ... + 67100165.

It is an arithmetic number, because the mean of its divisors is an integer number (211052898).

Almost surely, 222210100000 is an apocalyptic number.

22210100000 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 22210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30391617312).

22210100000 is an abundant number, since it is smaller than the sum of its proper divisors (38573134624).

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

22210100000 is an equidigital number, since it uses as much as digits as its factorization.

22210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22210100000 its reverse (101222), we get a palindrome (22210201222).

The spelling of 22210100000 in words is "twenty-two billion, two hundred ten million, one hundred thousand".