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22530816 = 2832711127
BaseRepresentation
bin101010111110…
…0101100000000
31120101200110200
41111330230000
521231441231
62122525200
7362336340
oct125745400
946350420
1022530816
1111799810
127666800
13488b359
142dc6d20
151ea0be6
hex157cb00

22530816 has 216 divisors, whose sum is σ = 81629184. Its totient is φ = 5806080.

The previous prime is 22530811. The next prime is 22530829. The reversal of 22530816 is 61803522.

It is a self number, because there is not a number n which added to its sum of digits gives 22530816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177345 + ... + 177471.

Almost surely, 222530816 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 22530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40814592).

22530816 is an abundant number, since it is smaller than the sum of its proper divisors (59098368).

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

22530816 is a wasteful number, since it uses less digits than its factorization.

22530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22530816 is about 4746.6636704110. The cubic root of 22530816 is about 282.4396341636.

The spelling of 22530816 in words is "twenty-two million, five hundred thirty thousand, eight hundred sixteen".