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1235085225 = 352113534241
BaseRepresentation
bin100100110011101…
…1110011110101001
310012002000211102020
41021213132132221
510012140211400
6322320055053
742415023363
oct11147363651
93162024366
101235085225
1158419a8a0
122a5764489
13168b59c7a
14ba063d33
157366b2a0
hex499de7a9

1235085225 has 48 divisors (see below), whose sum is σ = 2234481984. Its totient is φ = 596992000.

The previous prime is 1235085221. The next prime is 1235085227. The reversal of 1235085225 is 5225805321.

It is not a de Polignac number, because 1235085225 - 22 = 1235085221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1235085221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289105 + ... + 293345.

It is an arithmetic number, because the mean of its divisors is an integer number (46551708).

Almost surely, 21235085225 is an apocalyptic number.

1235085225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1235085225 is a deficient number, since it is larger than the sum of its proper divisors (999396759).

1235085225 is a wasteful number, since it uses less digits than its factorization.

1235085225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 1235085225 is about 35143.7793215243. The cubic root of 1235085225 is about 1072.9158031518.

The spelling of 1235085225 in words is "one billion, two hundred thirty-five million, eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 353 825 1059 1765 3883 4241 5295 8825 11649 12723 19415 21205 26475 46651 58245 63615 97075 106025 139953 233255 291225 318075 699765 1166275 1497073 3498825 4491219 7485365 16467803 22456095 37426825 49403409 82339015 112280475 247017045 411695075 1235085225