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203142216 = 23329535507
BaseRepresentation
bin11000001101110…
…11010001001000
3112011020200201210
430012323101020
5404001022331
632054013120
75014452234
oct1406732110
9464220653
10203142216
11a4739832
12580471a0
13331175c4
141cd9d5c4
1512c7a446
hexc1bb448

203142216 has 64 divisors (see below), whose sum is σ = 535377600. Its totient is φ = 64133888.

The previous prime is 203142179. The next prime is 203142217. The reversal of 203142216 is 612241302.

It is a junction number, because it is equal to n+sod(n) for n = 203142192 and 203142201.

It is not an unprimeable number, because it can be changed into a prime (203142217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34135 + ... + 39641.

It is an arithmetic number, because the mean of its divisors is an integer number (8365275).

Almost surely, 2203142216 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 203142216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267688800).

203142216 is an abundant number, since it is smaller than the sum of its proper divisors (332235384).

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

203142216 is a wasteful number, since it uses less digits than its factorization.

203142216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 203142216 is about 14252.7967781766. The cubic root of 203142216 is about 587.8502788776.

Adding to 203142216 its reverse (612241302), we get a palindrome (815383518).

The spelling of 203142216 in words is "two hundred three million, one hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 318 348 424 636 696 1272 1537 3074 4611 5507 6148 9222 11014 12296 16521 18444 22028 33042 36888 44056 66084 132168 159703 291871 319406 479109 583742 638812 875613 958218 1167484 1277624 1751226 1916436 2334968 3502452 3832872 7004904 8464259 16928518 25392777 33857036 50785554 67714072 101571108 203142216