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10683225 = 3352721719
BaseRepresentation
bin101000110000…
…001101011001
3202002202122000
4220300031121
510213330400
61020551213
7156543300
oct50601531
922082560
1010683225
116037513
1236b2509
1322a0847
1415c1437
15e10600
hexa30359

10683225 has 144 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 4354560.

The previous prime is 10683193. The next prime is 10683227. The reversal of 10683225 is 52238601.

It is not a de Polignac number, because 10683225 - 25 = 10683193 is a prime.

It is a super-2 number, since 2×106832252 = 228262592801250, which contains 22 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 (10683227) 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, 562266 + ... + 562284.

It is an arithmetic number, because the mean of its divisors is an integer number (176700).

Almost surely, 210683225 is an apocalyptic number.

10683225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10683225 is an abundant number, since it is smaller than the sum of its proper divisors (14761575).

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

10683225 is a wasteful number, since it uses less digits than its factorization.

10683225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10683225 is about 3268.5203074174. The cubic root of 10683225 is about 220.2423293956.

The spelling of 10683225 in words is "ten million, six hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 19 21 25 27 35 45 49 51 57 63 75 85 95 105 119 133 135 147 153 171 175 189 225 245 255 285 315 323 357 399 425 441 459 475 513 525 595 665 675 735 765 833 855 931 945 969 1071 1197 1225 1275 1323 1425 1575 1615 1785 1995 2205 2261 2295 2499 2565 2793 2907 2975 3213 3325 3591 3675 3825 4165 4275 4655 4725 4845 5355 5985 6615 6783 7497 8075 8379 8721 8925 9975 11025 11305 11475 12495 12825 13965 14535 15827 16065 17955 20349 20825 22491 23275 24225 25137 26775 29925 33075 33915 37485 41895 43605 47481 56525 61047 62475 69825 72675 79135 80325 89775 101745 112455 125685 142443 169575 187425 209475 218025 237405 305235 395675 427329 508725 562275 628425 712215 1187025 1526175 2136645 3561075 10683225