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1110204225 = 345213181233
BaseRepresentation
bin100001000101100…
…0101111101000001
32212101001012220000
41002023011331001
54233203013400
6302055310213
736340403004
oct10213057501
92771035800
101110204225
1151a754959
1226b97b369
131490144a0
14a763753b
15676ee600
hex422c5f41

1110204225 has 120 divisors (see below), whose sum is σ = 2236466232. Its totient is φ = 541209600.

The previous prime is 1110204223. The next prime is 1110204283. The reversal of 1110204225 is 5224020111.

It can be written as a sum of positive squares in 12 ways, for example, as 985457664 + 124746561 = 31392^2 + 11169^2 .

It is not a de Polignac number, because 1110204225 - 21 = 1110204223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110204198 and 1110204207.

It is not an unprimeable number, because it can be changed into a prime (1110204223) 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 119 ways as a sum of consecutive naturals, for example, 4764709 + ... + 4764941.

Almost surely, 21110204225 is an apocalyptic number.

1110204225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1110204225 is an abundant number, since it is smaller than the sum of its proper divisors (1126262007).

1110204225 is a wasteful number, since it uses less digits than its factorization.

1110204225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1110204225 is about 33319.7272647901. The cubic root of 1110204225 is about 1035.4623013505.

Adding to 1110204225 its reverse (5224020111), we get a palindrome (6334224336).

The spelling of 1110204225 in words is "one billion, one hundred ten million, two hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 181 195 225 233 325 351 405 543 585 675 699 905 975 1053 1165 1629 1755 2025 2097 2353 2715 2925 3029 3495 4525 4887 5265 5825 6291 7059 8145 8775 9087 10485 11765 13575 14661 15145 17475 18873 21177 24435 26325 27261 31455 35295 40725 42173 45435 52425 58825 63531 73305 75725 81783 94365 105885 122175 126519 136305 157275 176475 190593 210865 227175 245349 317655 366525 379557 408915 471825 529425 548249 632595 681525 952965 1054325 1138671 1226745 1588275 1644747 1897785 2044575 2741245 3162975 3416013 4764825 4934241 5693355 6133725 8223735 9488925 13706225 14802723 17080065 24671205 28466775 41118675 44408169 74013615 85400325 123356025 222040845 370068075 1110204225