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203142200 = 23526116651
BaseRepresentation
bin11000001101110…
…11010000111000
3112011020200201012
430012323100320
5404001022300
632054013052
75014452212
oct1406732070
9464220635
10203142200
11a4739818
1258047188
13331175b1
141cd9d5b2
1512c7a435
hexc1bb438

203142200 has 48 divisors (see below), whose sum is σ = 480077160. Its totient is φ = 79920000.

The previous prime is 203142179. The next prime is 203142217. The reversal of 203142200 is 2241302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3875 + ... + 20525.

Almost surely, 2203142200 is an apocalyptic number.

203142200 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 203142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240038580).

203142200 is an abundant number, since it is smaller than the sum of its proper divisors (276934960).

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

203142200 is a wasteful number, since it uses less digits than its factorization.

203142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16728 (or 16719 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 203142200 is about 14252.7962168832. The cubic root of 203142200 is about 587.8502634441.

Adding to 203142200 its reverse (2241302), we get a palindrome (205383502).

The spelling of 203142200 in words is "two hundred three million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 16651 33302 66604 83255 133208 166510 333020 416275 666040 832550 1015711 1665100 2031422 3330200 4062844 5078555 8125688 10157110 20314220 25392775 40628440 50785550 101571100 203142200