Search a number
-
+
22143422400 = 2635211419383
BaseRepresentation
bin10100100111110110…
…011100111111000000
32010011012202102000120
4110213312130333000
5330322204004100
614101134220240
71412506661541
oct244766347700
963135672016
1022143422400
119433425aa0
12435b954680
13211b78a008
141100c364c8
1589900e0a0
hex527d9cfc0

22143422400 has 168 divisors, whose sum is σ = 79253510784. Its totient is φ = 5368089600.

The previous prime is 22143422333. The next prime is 22143422407. The reversal of 22143422400 is 422434122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143422407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156892 + ... + 262491.

It is an arithmetic number, because the mean of its divisors is an integer number (471747088).

Almost surely, 222143422400 is an apocalyptic number.

22143422400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22143422400 is an abundant number, since it is smaller than the sum of its proper divisors (57110088384).

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

22143422400 is a wasteful number, since it uses less digits than its factorization.

22143422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419419 (or 419404 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22143422400 its reverse (422434122), we get a palindrome (22565856522).

The spelling of 22143422400 in words is "twenty-two billion, one hundred forty-three million, four hundred twenty-two thousand, four hundred".