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203142352 = 2472397589
BaseRepresentation
bin11000001101110…
…11010011010000
3112011020200220211
430012323103100
5404001023402
632054013504
75014452520
oct1406732320
9464220824
10203142352
11a4739946
1258047294
133311769a
141cd9d680
1512c7a4d7
hexc1bb4d0

203142352 has 40 divisors (see below), whose sum is σ = 451756800. Its totient is φ = 86685312.

The previous prime is 203142337. The next prime is 203142397. The reversal of 203142352 is 253241302.

203142352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 22974 + ... + 30562.

It is an arithmetic number, because the mean of its divisors is an integer number (11293920).

Almost surely, 2203142352 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 203142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225878400).

203142352 is an abundant number, since it is smaller than the sum of its proper divisors (248614448).

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

203142352 is a wasteful number, since it uses less digits than its factorization.

203142352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 203142352 is about 14252.8015491692. The cubic root of 203142352 is about 587.8504100626.

Adding to 203142352 its reverse (253241302), we get a palindrome (456383654).

The spelling of 203142352 in words is "two hundred three million, one hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 478 956 1673 1912 3346 3824 6692 7589 13384 15178 26768 30356 53123 60712 106246 121424 212492 424984 849968 1813771 3627542 7255084 12696397 14510168 25392794 29020336 50785588 101571176 203142352