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203142224 = 24191315101
BaseRepresentation
bin11000001101110…
…11010001010000
3112011020200202002
430012323101100
5404001022344
632054013132
75014452245
oct1406732120
9464220662
10203142224
11a473983a
12580471a8
13331175cc
141cd9d5cc
1512c7a44e
hexc1bb450

203142224 has 40 divisors (see below), whose sum is σ = 417547680. Its totient is φ = 95472000.

The previous prime is 203142217. The next prime is 203142227. The reversal of 203142224 is 422241302.

It is a junction number, because it is equal to n+sod(n) for n = 203142196 and 203142205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203142227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37274 + ... + 42374.

It is an arithmetic number, because the mean of its divisors is an integer number (10438692).

Almost surely, 2203142224 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 203142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208773840).

203142224 is an abundant number, since it is smaller than the sum of its proper divisors (214405456).

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

203142224 is a wasteful number, since it uses less digits than its factorization.

203142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 203142224 is about 14252.7970588232. The cubic root of 203142224 is about 587.8502865944.

Adding to 203142224 its reverse (422241302), we get a palindrome (625383526).

The spelling of 203142224 in words is "two hundred three million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 524 1048 2096 2489 4978 5101 9956 10202 19912 20404 39824 40808 81616 96919 193838 387676 668231 775352 1336462 1550704 2672924 5345848 10691696 12696389 25392778 50785556 101571112 203142224