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228908293536 = 25313261231299
BaseRepresentation
bin1101010100101111111…
…1110101110110100000
3210212212000100011010210
43111023333311312200
512222301010343121
6253054203054120
722352363251116
oct3251377656640
9725760304123
10228908293536
1189096844a8a
1238444b11340
1318780478500
14b117549ab6
155e4b304876
hex354bff5da0

228908293536 has 144 divisors (see below), whose sum is σ = 661331109600. Its totient is φ = 69278376960.

The previous prime is 228908293451. The next prime is 228908293553. The reversal of 228908293536 is 635392809822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 874015 + ... + 1105313.

It is an arithmetic number, because the mean of its divisors is an integer number (4592577150).

Almost surely, 2228908293536 is an apocalyptic number.

228908293536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228908293536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330665554800).

228908293536 is an abundant number, since it is smaller than the sum of its proper divisors (432422816064).

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

228908293536 is a wasteful number, since it uses less digits than its factorization.

228908293536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231399 (or 231378 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 228908293536 in words is "two hundred twenty-eight billion, nine hundred eight million, two hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 169 183 208 244 312 338 366 416 488 507 624 676 732 793 976 1014 1248 1352 1464 1586 1952 2028 2379 2704 2928 3172 4056 4758 5408 5856 6344 8112 9516 10309 12688 16224 19032 20618 25376 30927 38064 41236 61854 76128 82472 123708 164944 231299 247416 329888 462598 494832 693897 925196 989664 1387794 1850392 2775588 3006887 3700784 5551176 6013774 7401568 9020661 11102352 12027548 14109239 18041322 22204704 24055096 28218478 36082644 39089531 42327717 48110192 56436956 72165288 78179062 84655434 96220384 112873912 117268593 144330576 156358124 169310868 183420107 225747824 234537186 288661152 312716248 338621736 366840214 451495648 469074372 550260321 625432496 677243472 733680428 938148744 1100520642 1250864992 1354486944 1467360856 1876297488 2201041284 2384461391 2934721712 3752594976 4402082568 4768922782 5869443424 7153384173 8804165136 9537845564 14306768346 17608330272 19075691128 28613536692 38151382256 57227073384 76302764512 114454146768 228908293536