Search a number
-
+
22311300000 = 25355116761
BaseRepresentation
bin10100110001110110…
…110110101110100000
32010120220122110210110
4110301312312232200
5331143143100000
614125532331320
71416615630603
oct246166665640
963526573713
1022311300000
11950a168a10
1243a8013b40
1321474a8282
14111925633a
158a8b20850
hex531db6ba0

22311300000 has 288 divisors, whose sum is σ = 79871012928. Its totient is φ = 5408000000.

The previous prime is 22311299951. The next prime is 22311300007. The reversal of 22311300000 is 311322.

It is a happy number.

It is a super-3 number, since 3×223113000003 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22311300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3296620 + ... + 3303380.

It is an arithmetic number, because the mean of its divisors is an integer number (277329906).

Almost surely, 222311300000 is an apocalyptic number.

22311300000 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 22311300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39935506464).

22311300000 is an abundant number, since it is smaller than the sum of its proper divisors (57559712928).

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

22311300000 is an equidigital number, since it uses as much as digits as its factorization.

22311300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 22311300000 its reverse (311322), we get a palindrome (22311611322).

The spelling of 22311300000 in words is "twenty-two billion, three hundred eleven million, three hundred thousand".