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45304220 = 225131631069
BaseRepresentation
bin1010110011010…
…0100110011100
310011020200201002
42230310212130
543044213340
64255005432
71060036163
oct254644634
9104220632
1045304220
1123633805
1213209878
139502c40
1460343da
153e9d715
hex2b3499c

45304220 has 48 divisors (see below), whose sum is σ = 103182240. Its totient is φ = 16609536.

The previous prime is 45304219. The next prime is 45304223. The reversal of 45304220 is 2240354.

45304220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45304192 and 45304201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45304223) 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 15 ways as a sum of consecutive naturals, for example, 41846 + ... + 42914.

It is an arithmetic number, because the mean of its divisors is an integer number (2149630).

Almost surely, 245304220 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 45304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51591120).

45304220 is an abundant number, since it is smaller than the sum of its proper divisors (57878020).

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

45304220 is a wasteful number, since it uses less digits than its factorization.

45304220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 45304220 is about 6730.8409578596. The cubic root of 45304220 is about 356.4890702678.

Adding to 45304220 its reverse (2240354), we get a palindrome (47544574).

The spelling of 45304220 in words is "forty-five million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1069 1630 2119 2138 3260 4238 4276 5345 8476 10595 10690 13897 21190 21380 27794 42380 55588 69485 138970 174247 277940 348494 696988 871235 1742470 2265211 3484940 4530422 9060844 11326055 22652110 45304220