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1085223636 = 22337891272
BaseRepresentation
bin100000010101111…
…0011001011010100
32210122001001222000
41000223303023110
54210304124021
6255404035300
735615151210
oct10053631324
92718031860
101085223636
11507642642
12263532b30
13143aa9083
14a41b3940
1565417b26
hex40af32d4

1085223636 has 144 divisors (see below), whose sum is σ = 3277411200. Its totient is φ = 304166016.

The previous prime is 1085223631. The next prime is 1085223641. The reversal of 1085223636 is 6363225801.

It is a happy number.

1085223636 is a `hidden beast` number, since 10 + 8 + 5 + 2 + 2 + 3 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (1085223631) and next prime (1085223641).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1085223636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085223631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8545005 + ... + 8545131.

It is an arithmetic number, because the mean of its divisors is an integer number (22759800).

Almost surely, 21085223636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085223636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638705600).

1085223636 is an abundant number, since it is smaller than the sum of its proper divisors (2192187564).

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

1085223636 is a wasteful number, since it uses less digits than its factorization.

1085223636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1085223636 is about 32942.7326735351. The cubic root of 1085223636 is about 1027.6370364407.

The spelling of 1085223636 in words is "one billion, eighty-five million, two hundred twenty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 89 108 126 127 178 189 252 254 267 356 378 381 508 534 623 756 762 801 889 1068 1143 1246 1524 1602 1778 1869 2286 2403 2492 2667 3204 3429 3556 3738 4572 4806 5334 5607 6858 7476 8001 9612 10668 11214 11303 13716 16002 16129 16821 22428 22606 24003 32004 32258 33642 33909 45212 48006 48387 64516 67284 67818 79121 96012 96774 101727 112903 135636 145161 158242 193548 203454 225806 237363 290322 305181 316484 338709 406908 435483 451612 474726 580644 610362 677418 712089 870966 949452 1016127 1220724 1354836 1424178 1435481 1741932 2032254 2136267 2848356 2870962 3048381 4064508 4272534 4306443 5741924 6096762 8545068 8612886 10048367 12193524 12919329 17225772 20096734 25838658 30145101 38757987 40193468 51677316 60290202 77515974 90435303 120580404 155031948 180870606 271305909 361741212 542611818 1085223636