Search a number
-
+
1223205225 = 3521111313121
BaseRepresentation
bin100100011101000…
…1010000101101001
310011020200021010020
41020322022011221
510001120031400
6321213311053
742212033664
oct11072120551
93136607106
101223205225
11578516210
122a1795489
1316655a798
14b86506db
15725c12a0
hex48e8a169

1223205225 has 48 divisors (see below), whose sum is σ = 2225911104. Its totient is φ = 587776000.

The previous prime is 1223205197. The next prime is 1223205227. The reversal of 1223205225 is 5225023221.

It is not a de Polignac number, because 1223205225 - 218 = 1222943081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1223205195 and 1223205204.

It is not an unprimeable number, because it can be changed into a prime (1223205227) 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 47 ways as a sum of consecutive naturals, for example, 86665 + ... + 99785.

It is an arithmetic number, because the mean of its divisors is an integer number (46373148).

Almost surely, 21223205225 is an apocalyptic number.

1223205225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1223205225 is a deficient number, since it is larger than the sum of its proper divisors (1002705879).

1223205225 is a wasteful number, since it uses less digits than its factorization.

1223205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13258 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1223205225 is about 34974.3509589528. The cubic root of 1223205225 is about 1069.4646709292.

Adding to 1223205225 its reverse (5225023221), we get a palindrome (6448228446).

The spelling of 1223205225 in words is "one billion, two hundred twenty-three million, two hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 113 165 275 339 565 825 1243 1695 2825 3729 6215 8475 13121 18645 31075 39363 65605 93225 144331 196815 328025 432993 721655 984075 1482673 2164965 3608275 4448019 7413365 10824825 16309403 22240095 37066825 48928209 81547015 111200475 244641045 407735075 1223205225