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22780816 = 2417611373
BaseRepresentation
bin101011011100…
…1101110010000
31120212101101221
41112321232100
521312441231
62132134424
7364430242
oct126715620
946771357
1022780816
111194a623
127767414
134948096
143050092
151eeed11
hex15b9b90

22780816 has 40 divisors (see below), whose sum is σ = 47534904. Its totient is φ = 10536960.

The previous prime is 22780811. The next prime is 22780817. The reversal of 22780816 is 61808722.

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 16000000 = 2604^2 + 4000^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (22780811) 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 7 ways as a sum of consecutive naturals, for example, 15906 + ... + 17278.

Almost surely, 222780816 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 22780816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23767452).

22780816 is an abundant number, since it is smaller than the sum of its proper divisors (24754088).

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

22780816 is a wasteful number, since it uses less digits than its factorization.

22780816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 22780816 is about 4772.9253084455. The cubic root of 22780816 is about 283.4804360314.

The spelling of 22780816 in words is "twenty-two million, seven hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 1373 2074 2746 4148 5492 8296 10984 16592 21968 23341 46682 83753 93364 167506 186728 335012 373456 670024 1340048 1423801 2847602 5695204 11390408 22780816