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22401340 = 22513292971
BaseRepresentation
bin101010101110…
…1000100111100
31120011002212021
41111131010330
521213320330
62120045524
7361260013
oct125350474
946132767
1022401340
1111710505
1276038a4
134844440
142d91a7a
151e7767a
hex155d13c

22401340 has 48 divisors (see below), whose sum is σ = 52426080. Its totient is φ = 7983360.

The previous prime is 22401331. The next prime is 22401341. The reversal of 22401340 is 4310422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22401341) 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 15 ways as a sum of consecutive naturals, for example, 6055 + ... + 9025.

It is an arithmetic number, because the mean of its divisors is an integer number (1092210).

Almost surely, 222401340 is an apocalyptic number.

22401340 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 22401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26213040).

22401340 is an abundant number, since it is smaller than the sum of its proper divisors (30024740).

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

22401340 is a wasteful number, since it uses less digits than its factorization.

22401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3020 counting only the distinct ones).

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

The square root of 22401340 is about 4733.0053877003. The cubic root of 22401340 is about 281.8975702302.

Adding to 22401340 its reverse (4310422), we get a palindrome (26711762).

The spelling of 22401340 in words is "twenty-two million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 2971 3770 5942 7540 11884 14855 29710 38623 59420 77246 86159 154492 172318 193115 344636 386230 430795 772460 861590 1120067 1723180 2240134 4480268 5600335 11200670 22401340