Search a number
-
+
22110201000 = 2332533767991
BaseRepresentation
bin10100100101110111…
…101110010010101000
32010001220020120211100
4110211313232102220
5330240202413000
614053550201400
71411624415256
oct244567562250
963056216740
1022110201000
1194166a5298
1243507b3260
132114927994
1410da6695d6
1589614aa00
hex525dee4a8

22110201000 has 384 divisors, whose sum is σ = 77976437760. Its totient is φ = 5645376000.

The previous prime is 22110200999. The next prime is 22110201019. The reversal of 22110201000 is 10201122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22310505 + ... + 22311495.

It is an arithmetic number, because the mean of its divisors is an integer number (203063640).

Almost surely, 222110201000 is an apocalyptic number.

22110201000 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 22110201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988218880).

22110201000 is an abundant number, since it is smaller than the sum of its proper divisors (55866236760).

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

22110201000 is a wasteful number, since it uses less digits than its factorization.

22110201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22110201000 its reverse (10201122), we get a palindrome (22120402122).

The spelling of 22110201000 in words is "twenty-two billion, one hundred ten million, two hundred one thousand".