Search a number
-
+
22084928 = 26615657
BaseRepresentation
bin101010000111…
…1110101000000
31112120000211022
41110033311000
521123204203
62105205012
7355501355
oct124176500
945500738
1022084928
1111514808
127490768
134763408
142d0c62c
151e13a38
hex150fd40

22084928 has 28 divisors (see below), whose sum is σ = 44551092. Its totient is φ = 10859520.

The previous prime is 22084903. The next prime is 22084943. The reversal of 22084928 is 82948022.

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 20720704 = 1168^2 + 4552^2 .

It is a super-3 number, since 3×220849283 (a number of 23 digits) contains 333 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1076 + ... + 6732.

Almost surely, 222084928 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 22084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22275546).

22084928 is an abundant number, since it is smaller than the sum of its proper divisors (22466164).

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

22084928 is an equidigital number, since it uses as much as digits as its factorization.

22084928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 22084928 is about 4699.4603945560. The cubic root of 22084928 is about 280.5640331146.

The spelling of 22084928 in words is "twenty-two million, eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 5657 11314 22628 45256 90512 181024 345077 362048 690154 1380308 2760616 5521232 11042464 22084928