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22326304 = 25711131741
BaseRepresentation
bin101010100101…
…0110000100000
31120000021221011
41111022300200
521203420204
62114310304
7360525160
oct125126040
946007834
1022326304
111166a0a0
127588394
134819240
142d725a0
151e60304
hex154ac20

22326304 has 192 divisors, whose sum is σ = 64012032. Its totient is φ = 7372800.

The previous prime is 22326301. The next prime is 22326313. The reversal of 22326304 is 40362322.

It is a happy number.

It is a super-3 number, since 3×223263043 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22326301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544524 + ... + 544564.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 222326304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22326304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

22326304 is an abundant number, since it is smaller than the sum of its proper divisors (41685728).

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

22326304 is a wasteful number, since it uses less digits than its factorization.

22326304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 22326304 is about 4725.0718513055. The cubic root of 22326304 is about 281.5824681320.

Adding to 22326304 its reverse (40362322), we get a palindrome (62688626).

The spelling of 22326304 in words is "twenty-two million, three hundred twenty-six thousand, three hundred four".