Search a number
-
+
22143400000 = 2655532089
BaseRepresentation
bin10100100111110110…
…010111100001000000
32010011012201021021221
4110213312113201000
5330322202300000
614101133524424
71412506536331
oct244766274100
963135637257
1022143400000
119433410187
12435b943714
13211b77ca67
141100c2c288
1589900761a
hex527d97840

22143400000 has 168 divisors, whose sum is σ = 55985557320. Its totient is φ = 8686080000.

The previous prime is 22143399989. The next prime is 22143400001. The reversal of 22143400000 is 434122.

It can be written as a sum of positive squares in 12 ways, for example, as 19260998656 + 2882401344 = 138784^2 + 53688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22143400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10598956 + ... + 10601044.

It is an arithmetic number, because the mean of its divisors is an integer number (333247365).

Almost surely, 222143400000 is an apocalyptic number.

22143400000 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 22143400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27992778660).

22143400000 is an abundant number, since it is smaller than the sum of its proper divisors (33842157320).

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

22143400000 is an frugal number, since it uses more digits than its factorization.

22143400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22143400000 its reverse (434122), we get a palindrome (22143834122).

The spelling of 22143400000 in words is "twenty-two billion, one hundred forty-three million, four hundred thousand".