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228635568 = 2433731543
BaseRepresentation
bin11011010000010…
…11001110110000
3120221012220001000
431220023032300
5432012314233
634404242000
75444241000
oct1550131660
9527186030
10228635568
11108071317
12646a0300
13384a2225
1422518000
1515113d13
hexda0b3b0

228635568 has 160 divisors (see below), whose sum is σ = 765824000. Its totient is φ = 65282112.

The previous prime is 228635551. The next prime is 228635573. The reversal of 228635568 is 865536822.

228635568 is a `hidden beast` number, since 2 + 2 + 8 + 635 + 5 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147405 + ... + 148947.

It is an arithmetic number, because the mean of its divisors is an integer number (4786400).

Almost surely, 2228635568 is an apocalyptic number.

228635568 is a gapful number since it is divisible by the number (28) 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 228635568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382912000).

228635568 is an abundant number, since it is smaller than the sum of its proper divisors (537188432).

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

228635568 is a wasteful number, since it uses less digits than its factorization.

228635568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1555 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 228635568 is about 15120.6999837970. The cubic root of 228635568 is about 611.4786024385.

The spelling of 228635568 in words is "two hundred twenty-eight million, six hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 1008 1029 1176 1323 1372 1512 1543 1764 2058 2352 2646 2744 3024 3086 3087 3528 4116 4629 5292 5488 6172 6174 7056 8232 9258 9261 10584 10801 12344 12348 13887 16464 18516 18522 21168 21602 24688 24696 27774 32403 37032 37044 41661 43204 49392 55548 64806 74064 74088 75607 83322 86408 97209 111096 129612 148176 151214 166644 172816 194418 222192 226821 259224 291627 302428 333288 388836 453642 518448 529249 583254 604856 666576 680463 777672 907284 1058498 1166508 1209712 1360926 1555344 1587747 1814568 2041389 2116996 2333016 2721852 3175494 3629136 4082778 4233992 4666032 4763241 5443704 6350988 8165556 8467984 9526482 10887408 12701976 14289723 16331112 19052964 25403952 28579446 32662224 38105928 57158892 76211856 114317784 228635568