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228204096 = 26343131211
BaseRepresentation
bin11011001101000…
…01111001000000
3120220101222011120
431212201321000
5431410012341
634351112240
75440463031
oct1546417100
9526358146
10228204096
111078a712a
1264512680
1338380a13
1422444a88
151507b066
hexd9a1e40

228204096 has 112 divisors (see below), whose sum is σ = 625498368. Its totient is φ = 73382400.

The previous prime is 228204089. The next prime is 228204121. The reversal of 228204096 is 690402822.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1081431 + ... + 1081641.

Almost surely, 2228204096 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 228204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312749184).

228204096 is an abundant number, since it is smaller than the sum of its proper divisors (397294272).

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

228204096 is a wasteful number, since it uses less digits than its factorization.

228204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 228204096 is about 15106.4256526817. The cubic root of 228204096 is about 611.0937074738.

The spelling of 228204096 in words is "two hundred twenty-eight million, two hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 131 172 192 211 258 262 344 393 422 516 524 633 688 786 844 1032 1048 1266 1376 1572 1688 2064 2096 2532 2752 3144 3376 4128 4192 5064 5633 6288 6752 8256 8384 9073 10128 11266 12576 13504 16899 18146 20256 22532 25152 27219 27641 33798 36292 40512 45064 54438 55282 67596 72584 82923 90128 108876 110564 135192 145168 165846 180256 217752 221128 270384 290336 331692 360512 435504 442256 540768 580672 663384 871008 884512 1081536 1188563 1326768 1742016 1769024 2377126 2653536 3565689 4754252 5307072 7131378 9508504 14262756 19017008 28525512 38034016 57051024 76068032 114102048 228204096