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228888008256 = 263109101910733
BaseRepresentation
bin1101010100101011001…
…0011101011001000000
3210212210121011112222010
43111022302131121000
512222230312231011
6253052200212520
722352025653265
oct3251262353100
9725717145863
10228888008256
118908634a396
123843a16a140
13187791c529b
14b11498926c
155e496491a6
hex354ac9d640

228888008256 has 112 divisors (see below), whose sum is σ = 611812238400. Its totient is φ = 75514816512.

The previous prime is 228888008189. The next prime is 228888008257. The reversal of 228888008256 is 652800888822.

It is a junction number, because it is equal to n+sod(n) for n = 228888008196 and 228888008205.

It is not an unprimeable number, because it can be changed into a prime (228888008257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21320266 + ... + 21330998.

Almost surely, 2228888008256 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 228888008256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305906119200).

228888008256 is an abundant number, since it is smaller than the sum of its proper divisors (382924230144).

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

228888008256 is a wasteful number, since it uses less digits than its factorization.

228888008256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 57.

The spelling of 228888008256 in words is "two hundred twenty-eight billion, eight hundred eighty-eight million, eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1019 1308 1744 2038 2616 3057 3488 4076 5232 6114 6976 8152 10464 10733 12228 16304 20928 21466 24456 32199 32608 42932 48912 64398 65216 85864 97824 111071 128796 171728 195648 222142 257592 333213 343456 444284 515184 666426 686912 888568 1030368 1169897 1332852 1777136 2060736 2339794 2665704 3509691 3554272 4679588 5331408 7019382 7108544 9359176 10662816 10936927 14038764 18718352 21325632 21873854 28077528 32810781 37436704 43747708 56155056 65621562 74873408 87495416 112310112 131243124 174990832 224620224 262486248 349981664 524972496 699963328 1049944992 1192125043 2099889984 2384250086 3576375129 4768500172 7152750258 9537000344 14305500516 19074000688 28611001032 38148001376 57222002064 76296002752 114444004128 228888008256