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203042200 = 23527313907
BaseRepresentation
bin11000001101000…
…10110110011000
3112011001121112111
430012202312120
5403434322300
632051522104
75013554524
oct1406426630
9464047474
10203042200
11a4680679
1257bb9334
13330b0c1a
141cd74d84
1512c5a9ba
hexc1a2d98

203042200 has 48 divisors (see below), whose sum is σ = 478574280. Its totient is φ = 80098560.

The previous prime is 203042171. The next prime is 203042207. The reversal of 203042200 is 2240302.

It is a super-2 number, since 2×2030422002 = 82452269961680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203042207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7647 + ... + 21553.

Almost surely, 2203042200 is an apocalyptic number.

203042200 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 203042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239287140).

203042200 is an abundant number, since it is smaller than the sum of its proper divisors (275532080).

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

203042200 is a wasteful number, since it uses less digits than its factorization.

203042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13996 (or 13987 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 203042200 is about 14249.2877014958. The cubic root of 203042200 is about 587.7537880442.

Adding to 203042200 its reverse (2240302), we get a palindrome (205282502).

The spelling of 203042200 in words is "two hundred three million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 13907 14600 27814 55628 69535 111256 139070 278140 347675 556280 695350 1015211 1390700 2030422 2781400 4060844 5076055 8121688 10152110 20304220 25380275 40608440 50760550 101521100 203042200