Search a number
-
+
4523220 = 22325131933
BaseRepresentation
bin10001010000010011010100
322111210200200
4101100103110
52124220340
6240540500
753306142
oct21202324
98453620
104523220
11260a3a9
121621730
13c24a80
1485a592
155e5330
hex4504d4

4523220 has 72 divisors (see below), whose sum is σ = 14783496. Its totient is φ = 1112832.

The previous prime is 4523201. The next prime is 4523221. The reversal of 4523220 is 223254.

It can be written as a sum of positive squares in 4 ways, for example, as 213444 + 4309776 = 462^2 + 2076^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4523193 and 4523202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4523221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1374 + ... + 3306.

Almost surely, 24523220 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 4523220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7391748).

4523220 is an abundant number, since it is smaller than the sum of its proper divisors (10260276).

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

4523220 is a wasteful number, since it uses less digits than its factorization.

4523220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4523220 is about 2126.7863080244. The cubic root of 4523220 is about 165.3798411624.

Adding to 4523220 its reverse (223254), we get a palindrome (4746474).

The spelling of 4523220 in words is "four million, five hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1933 2340 3866 5799 7732 9665 11598 17397 19330 23196 25129 28995 34794 38660 50258 57990 69588 75387 86985 100516 115980 125645 150774 173970 226161 251290 301548 347940 376935 452322 502580 753870 904644 1130805 1507740 2261610 4523220