Search a number
-
+
22422400000 = 21055721113
BaseRepresentation
bin10100111000011110…
…101010110000000000
32010212122200221100021
4110320132222300000
5331410113300000
614144541503224
71422435153400
oct247036526000
963778627307
1022422400000
119566950aa0
124419271b14
132164507210
141129cd6800
158b376911a
hex5387aac00

22422400000 has 792 divisors, whose sum is σ = 76565693232. Its totient is φ = 6451200000.

The previous prime is 22422399977. The next prime is 22422400051. The reversal of 22422400000 is 422422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1724799994 + ... + 1724800006.

Almost surely, 222422400000 is an apocalyptic number.

22422400000 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 22422400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38282846616).

22422400000 is an abundant number, since it is smaller than the sum of its proper divisors (54143293232).

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

22422400000 is an equidigital number, since it uses as much as digits as its factorization.

22422400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22422400000 its reverse (422422), we get a palindrome (22422822422).

The spelling of 22422400000 in words is "twenty-two billion, four hundred twenty-two million, four hundred thousand".