Search a number
-
+
22252520 = 235556313
BaseRepresentation
bin101010011100…
…0101111101000
31112212112201102
41110320233220
521144040040
62112540532
7360100103
oct124705750
945775642
1022252520
1111619714
127551748
1347c1794
142d5373a
151e48515
hex1538be8

22252520 has 16 divisors (see below), whose sum is σ = 50068260. Its totient is φ = 8900992.

The previous prime is 22252519. The next prime is 22252537. The reversal of 22252520 is 2525222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21141604 + 1110916 = 4598^2 + 1054^2 .

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 = 22252492 and 22252501.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 278117 + ... + 278196.

Almost surely, 222252520 is an apocalyptic number.

22252520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22252520 is an abundant number, since it is smaller than the sum of its proper divisors (27815740).

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

22252520 is a wasteful number, since it uses less digits than its factorization.

22252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556324 (or 556320 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 22252520 is about 4717.2576779311. The cubic root of 22252520 is about 281.2719344210.

Adding to 22252520 its reverse (2525222), we get a palindrome (24777742).

It can be divided in two parts, 2 and 2252520, that added together give a palindrome (2252522).

The spelling of 22252520 in words is "twenty-two million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 556313 1112626 2225252 2781565 4450504 5563130 11126260 22252520