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803412225 = 325271179587
BaseRepresentation
bin101111111000110…
…001100100000001
32001222202120101100
4233320301210001
53121133142400
6211415525013
725623614460
oct5770614401
92058676340
10803412225
11382561550
121a5089769
13ca5a9065
14789b69d7
154a7ed100
hex2fe31901

803412225 has 144 divisors (see below), whose sum is σ = 1819883520. Its totient is φ = 329097600.

The previous prime is 803412199. The next prime is 803412229. The reversal of 803412225 is 522214308.

It is not a de Polignac number, because 803412225 - 26 = 803412161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803412229) 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, 1368382 + ... + 1368968.

It is an arithmetic number, because the mean of its divisors is an integer number (12638080).

Almost surely, 2803412225 is an apocalyptic number.

It is an amenable number.

803412225 is an abundant number, since it is smaller than the sum of its proper divisors (1016471295).

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

803412225 is a wasteful number, since it uses less digits than its factorization.

803412225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 803412225 is about 28344.5272495415. The cubic root of 803412225 is about 929.6357401073.

The spelling of 803412225 in words is "eight hundred three million, four hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 79 99 105 165 175 225 231 237 275 315 385 395 495 525 553 587 693 711 825 869 1155 1185 1575 1659 1761 1925 1975 2475 2607 2765 2935 3465 3555 4109 4345 4977 5283 5775 5925 6083 6457 7821 8295 8805 12327 13035 13825 14675 17325 17775 18249 19371 20545 21725 24885 26415 30415 32285 36981 39105 41475 44025 45199 46373 54747 58113 61635 65175 91245 96855 102725 124425 132075 135597 139119 152075 161425 184905 195525 225995 231865 273735 290565 308175 324611 406791 417357 456225 484275 510103 677985 695595 924525 973833 1129975 1159325 1368675 1452825 1530309 1623055 2033955 2086785 2550515 2921499 3389925 3477975 3570721 4590927 4869165 7651545 8115275 10169775 10433925 10712163 12752575 14607495 17853605 22954635 24345825 32136489 38257725 53560815 73037475 89268025 114773175 160682445 267804075 803412225