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22503325 = 5213174073
BaseRepresentation
bin101010111010…
…1111110011101
31120100021202111
41111311332131
521230101300
62122154021
7362163235
oct125657635
946307674
1022503325
1111780099
127652911
13487b9a0
142dbacc5
151e979ba
hex1575f9d

22503325 has 24 divisors (see below), whose sum is σ = 31826088. Its totient is φ = 15636480.

The previous prime is 22503317. The next prime is 22503331. The reversal of 22503325 is 52330522.

It can be written as a sum of positive squares in 12 ways, for example, as 11758041 + 10745284 = 3429^2 + 3278^2 .

It is not a de Polignac number, because 22503325 - 23 = 22503317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22503296 and 22503305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3489 + ... + 7561.

It is an arithmetic number, because the mean of its divisors is an integer number (1326087).

Almost surely, 222503325 is an apocalyptic number.

22503325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22503325 is a deficient number, since it is larger than the sum of its proper divisors (9322763).

22503325 is a wasteful number, since it uses less digits than its factorization.

22503325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 22503325 is about 4743.7669630790. The cubic root of 22503325 is about 282.3247144007.

Adding to 22503325 its reverse (52330522), we get a palindrome (74833847).

The spelling of 22503325 in words is "twenty-two million, five hundred three thousand, three hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 4073 5525 20365 52949 69241 101825 264745 346205 900133 1323725 1731025 4500665 22503325