Search a number
-
+
22143402523200 = 26352717313114021
BaseRepresentation
bin1010000100011101010011…
…01001000011101001000000
32220101212222210110022201210
411002032221221003221000
510400244142021220300
6115032312204530120
74443544104612660
oct502165151035100
986355883408653
1022143402523200
117067a674a1002
122597658850940
13c4816330751a
14567a641a21a0
1528600263a050
hex1423a9a43a40

22143402523200 has 1344 divisors, whose sum is σ = 91061444837376. Its totient is φ = 4593991680000.

The previous prime is 22143402523199. The next prime is 22143402523267. The reversal of 22143402523200 is 232520434122.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5506937190 + ... + 5506941210.

Almost surely, 222143402523200 is an apocalyptic number.

22143402523200 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 22143402523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45530722418688).

22143402523200 is an abundant number, since it is smaller than the sum of its proper divisors (68918042314176).

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

22143402523200 is a wasteful number, since it uses less digits than its factorization.

22143402523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22143402523200 its reverse (232520434122), we get a palindrome (22375922957322).

The spelling of 22143402523200 in words is "twenty-two trillion, one hundred forty-three billion, four hundred two million, five hundred twenty-three thousand, two hundred".