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1688223285 = 325779179379
BaseRepresentation
bin110010010100000…
…0011111000110101
311100122200121222100
41210220003320311
511424141121120
6435304252313
756556442530
oct14450037065
94318617870
101688223285
11796a5a161
123b1471099
1320b9b50b8
141202dba17
159d329490
hex64a03e35

1688223285 has 96 divisors (see below), whose sum is σ = 3414528000. Its totient is φ = 755733888.

The previous prime is 1688223281. The next prime is 1688223293. The reversal of 1688223285 is 5823228861.

It is not a de Polignac number, because 1688223285 - 22 = 1688223281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1688223285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688223281) 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, 4454226 + ... + 4454604.

It is an arithmetic number, because the mean of its divisors is an integer number (35568000).

Almost surely, 21688223285 is an apocalyptic number.

1688223285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1688223285 is an abundant number, since it is smaller than the sum of its proper divisors (1726304715).

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

1688223285 is a wasteful number, since it uses less digits than its factorization.

1688223285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1688223285 is about 41087.9944144272. The cubic root of 1688223285 is about 1190.7208599943.

The spelling of 1688223285 in words is "one billion, six hundred eighty-eight million, two hundred twenty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 79 105 179 237 315 379 395 537 553 711 895 1137 1185 1253 1611 1659 1895 2653 2685 2765 3411 3555 3759 4977 5685 6265 7959 8055 8295 11277 13265 14141 17055 18795 23877 24885 29941 39795 42423 56385 67841 70705 89823 98987 119385 127269 149705 203523 209587 212115 269469 296961 339205 449115 474887 494935 610569 628761 636345 890883 1017615 1047935 1347345 1424661 1484805 1886283 2374435 3052845 3143805 4273983 4454415 5359439 7123305 9431415 16078317 21369915 26797195 37516073 48234951 80391585 112548219 187580365 241174755 337644657 562741095 1688223285