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203391216 = 24337103653
BaseRepresentation
bin11000001111110…
…00000011110000
3112011201100022000
430013320003300
5404032004331
632103214000
75016540210
oct1407700360
9464640260
10203391216
11a4899916
1258147300
13331a3a42
141d026240
1512cc90e6
hexc1f80f0

203391216 has 160 divisors (see below), whose sum is σ = 674718720. Its totient is φ = 57459456.

The previous prime is 203391211. The next prime is 203391229. The reversal of 203391216 is 612193302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 203391216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203391211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311146 + ... + 311798.

It is an arithmetic number, because the mean of its divisors is an integer number (4216992).

Almost surely, 2203391216 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 203391216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337359360).

203391216 is an abundant number, since it is smaller than the sum of its proper divisors (471327504).

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

203391216 is a wasteful number, since it uses less digits than its factorization.

203391216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 203391216 is about 14261.5292307662. The cubic root of 203391216 is about 588.0903651205.

The spelling of 203391216 in words is "two hundred three million, three hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 103 108 112 126 144 168 189 206 216 252 309 336 378 412 432 504 618 653 721 756 824 927 1008 1236 1306 1442 1512 1648 1854 1959 2163 2472 2612 2781 2884 3024 3708 3918 4326 4571 4944 5224 5562 5768 5877 6489 7416 7836 8652 9142 10448 11124 11536 11754 12978 13713 14832 15672 17304 17631 18284 19467 22248 23508 25956 27426 31344 34608 35262 36568 38934 41139 44496 47016 51912 54852 67259 70524 73136 77868 82278 94032 103824 109704 123417 134518 141048 155736 164556 201777 219408 246834 269036 282096 311472 329112 403554 470813 493668 538072 605331 658224 807108 941626 987336 1076144 1210662 1412439 1614216 1815993 1883252 1974672 2421324 2824878 3228432 3631986 3766504 4237317 4842648 5649756 7263972 7533008 8474634 9685296 11299512 12711951 14527944 16949268 22599024 25423902 29055888 33898536 50847804 67797072 101695608 203391216