Search a number
-
+
22111232000 = 213531113151
BaseRepresentation
bin10100100101111011…
…101010000000000000
32010001222011222002112
4110211323222000000
5330240433411000
614054024234452
71411636241144
oct244573520000
963058158075
1022111232000
119417239960
12435100ba28
132114bc9040
1410da857224
158962a1235
hex525eea000

22111232000 has 448 divisors, whose sum is σ = 65263580928. Its totient is φ = 7372800000.

The previous prime is 22111231991. The next prime is 22111232009. The reversal of 22111232000 is 23211122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22111231991) and next prime (22111232009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111232009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146431925 + ... + 146432075.

It is an arithmetic number, because the mean of its divisors is an integer number (145677636).

Almost surely, 222111232000 is an apocalyptic number.

22111232000 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 22111232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32631790464).

22111232000 is an abundant number, since it is smaller than the sum of its proper divisors (43152348928).

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

22111232000 is a wasteful number, since it uses less digits than its factorization.

22111232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22111232000 its reverse (23211122), we get a palindrome (22134443122).

The spelling of 22111232000 in words is "twenty-two billion, one hundred eleven million, two hundred thirty-two thousand".