Search a number
-
+
1035315225 = 3252719291193
BaseRepresentation
bin111101101101011…
…010100000011001
32200011010110111100
4331231122200121
54110020041400
6250422222013
734441014510
oct7555324031
92604113440
101035315225
1149145471a
1224a884909
13136653579
149b701677
1560d5a100
hex3db5a819

1035315225 has 144 divisors (see below), whose sum is σ = 2309673600. Its totient is φ = 432552960.

The previous prime is 1035315223. The next prime is 1035315227. The reversal of 1035315225 is 5225135301.

It is a happy number.

1035315225 is a `hidden beast` number, since 103 + 5 + 31 + 522 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1035315223) and next prime (1035315227).

It is not a de Polignac number, because 1035315225 - 21 = 1035315223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1035315223) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 867229 + ... + 868421.

It is an arithmetic number, because the mean of its divisors is an integer number (16039400).

Almost surely, 21035315225 is an apocalyptic number.

1035315225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1035315225 is an abundant number, since it is smaller than the sum of its proper divisors (1274358375).

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

1035315225 is a wasteful number, since it uses less digits than its factorization.

1035315225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1035315225 is about 32176.3146584565. The cubic root of 1035315225 is about 1011.6358241294.

The spelling of 1035315225 in words is "one billion, thirty-five million, three hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 29 35 45 57 63 75 87 95 105 133 145 171 175 203 225 261 285 315 399 435 475 525 551 609 665 725 855 1015 1193 1197 1305 1425 1575 1653 1827 1995 2175 2755 3045 3325 3579 3857 4275 4959 5075 5965 5985 6525 8265 8351 9135 9975 10737 11571 13775 15225 17895 19285 22667 24795 25053 29825 29925 34597 34713 41325 41755 45675 53685 57855 68001 75159 89475 96425 103791 113335 123975 125265 158669 172985 173565 204003 208775 242179 268425 289275 311373 340005 375795 476007 518955 566675 626325 657343 726537 793345 864925 867825 1020015 1210895 1428021 1556865 1700025 1878975 1972029 2179611 2380035 2594775 3286715 3632685 3966725 4601401 5100075 5916087 6054475 7140105 7784325 9860145 10898055 11900175 13804203 16433575 18163425 23007005 29580435 35700525 41412609 49300725 54490275 69021015 115035025 147902175 207063045 345105075 1035315225