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203000220 = 223251318609
BaseRepresentation
bin11000001100110…
…00100110011100
3112010222110221200
430012120212130
5403432001340
632050555500
75013321243
oct1406304634
9463873850
10203000220
11a4652085
1257b98b90
1333097a97
141cd6395a
1512c4d330
hexc19899c

203000220 has 72 divisors (see below), whose sum is σ = 620539920. Its totient is φ = 53713920.

The previous prime is 203000209. The next prime is 203000227. The reversal of 203000220 is 22000302.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203000227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19276 + ... + 27884.

It is an arithmetic number, because the mean of its divisors is an integer number (8618610).

Almost surely, 2203000220 is an apocalyptic number.

203000220 is a gapful number since it is divisible by the number (20) 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 203000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310269960).

203000220 is an abundant number, since it is smaller than the sum of its proper divisors (417539700).

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

203000220 is a wasteful number, since it uses less digits than its factorization.

203000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8755 (or 8750 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 203000220 is about 14247.8145692594. The cubic root of 203000220 is about 587.7132782311.

Adding to 203000220 its reverse (22000302), we get a palindrome (225000522).

The spelling of 203000220 in words is "two hundred three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 7860 8609 11790 17218 23580 25827 34436 43045 51654 77481 86090 103308 129135 154962 172180 258270 309924 387405 516540 774810 1127779 1549620 2255558 3383337 4511116 5638895 6766674 10150011 11277790 13533348 16916685 20300022 22555580 33833370 40600044 50750055 67666740 101500110 203000220