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1035630225 = 335271712893
BaseRepresentation
bin111101101110100…
…111011010010001
32200011201110121000
4331232213122101
54110110131400
6250433052213
734443466050
oct7556473221
92604643530
101035630225
1149164a353
1224a9b7069
13136733a66
149b784397
1560dbd600
hex3dba7691

1035630225 has 96 divisors (see below), whose sum is σ = 2302352640. Its totient is φ = 445547520.

The previous prime is 1035630187. The next prime is 1035630227. The reversal of 1035630225 is 5220365301.

1035630225 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 630 + 2 + 25 = 666.

It is not a de Polignac number, because 1035630225 - 26 = 1035630161 is a prime.

It is a super-3 number, since 3×10356302253 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1035630227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73879 + ... + 86771.

It is an arithmetic number, because the mean of its divisors is an integer number (23982840).

Almost surely, 21035630225 is an apocalyptic number.

1035630225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1035630225 is an abundant number, since it is smaller than the sum of its proper divisors (1266722415).

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

1035630225 is a wasteful number, since it uses less digits than its factorization.

1035630225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12936 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1035630225 is about 32181.2091910792. The cubic root of 1035630225 is about 1011.7384121992.

Adding to 1035630225 its reverse (5220365301), we get a palindrome (6255995526).

The spelling of 1035630225 in words is "one billion, thirty-five million, six hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 85 105 119 135 153 175 189 225 255 315 357 425 459 525 595 675 765 945 1071 1275 1575 1785 2295 2975 3213 3825 4725 5355 8925 11475 12893 16065 26775 38679 64465 80325 90251 116037 193395 219181 270753 322325 348111 451255 580185 657543 812259 966975 1095905 1353765 1534267 1740555 1972629 2256275 2436777 2900925 3287715 4061295 4602801 5479525 5917887 6768825 7671335 8702775 9863145 12183885 13808403 16438575 20306475 23014005 29589435 38356675 41425209 49315725 60919425 69042015 115070025 147947175 207126045 345210075 1035630225