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203387470224 = 243192343225493
BaseRepresentation
bin1011110101101011010…
…1101000000110010000
3201102222102102000001120
42331122311220012100
511313014143021344
6233233535202240
720460062654331
oct2753265500620
9642872360046
10203387470224
117928aa19774
1233502076380
1316244078b23
149bb5d4a288
155455a54219
hex2f5ad68190

203387470224 has 160 divisors (see below), whose sum is σ = 590541726720. Its totient is φ = 60006127104.

The previous prime is 203387470213. The next prime is 203387470249. The reversal of 203387470224 is 422074783302.

It is a Cunningham number, because it is equal to 4509852-1.

It is a super-2 number, since 2×2033874702242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789222 + ... + 1014714.

It is an arithmetic number, because the mean of its divisors is an integer number (3690885792).

Almost surely, 2203387470224 is an apocalyptic number.

203387470224 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 203387470224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295270863360).

203387470224 is an abundant number, since it is smaller than the sum of its proper divisors (387154256496).

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

203387470224 is a wasteful number, since it uses less digits than its factorization.

203387470224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225589 (or 225583 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 203387470224 in words is "two hundred three billion, three hundred eighty-seven million, four hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 43 46 48 57 69 76 86 92 114 129 138 152 172 184 228 258 276 304 344 368 437 456 516 552 688 817 874 912 989 1032 1104 1311 1634 1748 1978 2064 2451 2622 2967 3268 3496 3956 4902 5244 5934 6536 6992 7912 9804 10488 11868 13072 15824 18791 19608 20976 23736 37582 39216 47472 56373 75164 112746 150328 225492 225493 300656 450984 450986 676479 901968 901972 1352958 1803944 2705916 3607888 4284367 5186339 5411832 8568734 9696199 10372678 10823664 12853101 15559017 17137468 19392398 20745356 25706202 29088597 31118034 34274936 38784796 41490712 51412404 58177194 62236068 68549872 77569592 82981424 98540441 102824808 116354388 124472136 155139184 184227781 197080882 205649616 223012577 232708776 248944272 295621323 368455562 394161764 446025154 465417552 552683343 591242646 669037731 736911124 788323528 892050308 1105366686 1182485292 1338075462 1473822248 1576647056 1784100616 2210733372 2364970584 2676150924 2947644496 3568201232 4237238963 4421466744 4729941168 5352301848 8474477926 8842933488 10704603696 12711716889 16948955852 25423433778 33897911704 50846867556 67795823408 101693735112 203387470224