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228358412603904 = 2931120816494729
BaseRepresentation
bin110011111011000011010110…
…000100001001001000000000
31002221112211222102000201111210
4303323003112010021020000
5214412411012111311104
62125402223445410120
766046231226252142
oct6373032604111000
91087484872021453
10228358412603904
1166842293694780
1221741482409940
139a5614b8b08cb
14405686b382c92
151b601d673c989
hexcfb0d6109200

228358412603904 has 160 divisors (see below), whose sum is σ = 663985656037440. Its totient is φ = 69166255308800.

The previous prime is 228358412603899. The next prime is 228358412603939. The reversal of 228358412603904 is 409306214853822.

It is a super-2 number, since 2×2283584126039042 (a number of 30 digits) contains 22 as substring.

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, 31913212 + ... + 38407940.

It is an arithmetic number, because the mean of its divisors is an integer number (4149910350234).

Almost surely, 2228358412603904 is an apocalyptic number.

228358412603904 is a gapful number since it is divisible by the number (24) 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 228358412603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331992828018720).

228358412603904 is an abundant number, since it is smaller than the sum of its proper divisors (435627243433536).

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

228358412603904 is a wasteful number, since it uses less digits than its factorization.

228358412603904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496842 (or 6496826 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 228358412603904 in words is "two hundred twenty-eight trillion, three hundred fifty-eight billion, four hundred twelve million, six hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2081 2112 2816 4162 4224 5632 6243 8324 8448 12486 16648 16896 22891 24972 33296 45782 49944 66592 68673 91564 99888 133184 137346 183128 199776 266368 274692 366256 399552 532736 549384 732512 799104 1065472 1098768 1465024 1598208 2197536 2930048 3196416 4395072 5860096 6494729 8790144 11720192 12989458 17580288 19484187 25978916 35160576 38968374 51957832 71442019 77936748 103915664 142884038 155873496 207831328 214326057 285768076 311746992 415662656 428652114 571536152 623493984 831325312 857304228 1143072304 1246987968 1662650624 1714608456 2286144608 2493975936 3325301248 3429216912 4572289216 4987951872 6858433824 9144578432 9975903744 13515531049 13716867648 18289156864 27031062098 27433735296 36578313728 40546593147 54062124196 54867470592 81093186294 108124248392 109734941184 148670841539 162186372588 216248496784 297341683078 324372745176 432496993568 446012524617 594683366156 648745490352 864993987136 892025049234 1189366732312 1297490980704 1729987974272 1784050098468 2378733464624 2594981961408 3459975948544 3568100196936 4757466929248 5189963922816 6919951897088 7136200393872 9514933858496 10379927845632 14272400787744 19029867716992 20759855691264 28544801575488 38059735433984 57089603150976 76119470867968 114179206301952 228358412603904