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22340640 = 2535761109
BaseRepresentation
bin101010100111…
…0010000100000
31120001000121010
41111032100200
521204400030
62114500520
7360615030
oct125162040
946030533
1022340640
1111679943
127594740
13482291a
142d778c0
151e646b0
hex154e420

22340640 has 192 divisors, whose sum is σ = 82494720. Its totient is φ = 4976640.

The previous prime is 22340639. The next prime is 22340653. The reversal of 22340640 is 4604322.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204906 + ... + 205014.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 222340640 is an apocalyptic number.

22340640 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 22340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

22340640 is an abundant number, since it is smaller than the sum of its proper divisors (60154080).

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

22340640 is a wasteful number, since it uses less digits than its factorization.

22340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 22340640 is about 4726.5886218286. The cubic root of 22340640 is about 281.6427244490.

Adding to 22340640 its reverse (4604322), we get a palindrome (26944962).

It can be divided in two parts, 223406 and 40, that added together give a triangular number (223446 = T668).

The spelling of 22340640 in words is "twenty-two million, three hundred forty thousand, six hundred forty".