Search a number
-
+
22022001414 = 2337192712273
BaseRepresentation
bin10100100000100111…
…010001001100000110
32002211202021120202000
4110200213101030012
5330100113021124
614041115530130
71406503631520
oct244047211406
962752246660
1022022001414
119380933676
124327159946
1320cc58638a
1410cca6aa10
1588d5276c9
hex5209d1306

22022001414 has 192 divisors, whose sum is σ = 59885153280. Its totient is φ = 5874301440.

The previous prime is 22022001413. The next prime is 22022001451. The reversal of 22022001414 is 41410022022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022001413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9687382 + ... + 9689654.

It is an arithmetic number, because the mean of its divisors is an integer number (311901840).

Almost surely, 222022001414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022001414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29942576640).

22022001414 is an abundant number, since it is smaller than the sum of its proper divisors (37863151866).

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

22022001414 is a wasteful number, since it uses less digits than its factorization.

22022001414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22022001414 its reverse (41410022022), we get a palindrome (63432023436).

The spelling of 22022001414 in words is "twenty-two billion, twenty-two million, one thousand, four hundred fourteen".