Search a number
-
+
203134440 = 23353745751
BaseRepresentation
bin11000001101110…
…01010111101000
3112011020022001210
430012321113220
5404000300230
632053513120
75014420455
oct1406712750
9464208053
10203134440
11a4733a03
12580427a0
1333113bc2
141cd9a82c
1512c77eb0
hexc1b95e8

203134440 has 64 divisors (see below), whose sum is σ = 625887360. Its totient is φ = 52704000.

The previous prime is 203134439. The next prime is 203134447. The reversal of 203134440 is 44431302.

203134440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2031344402 = 82527201428227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203134447) 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, 18436 + ... + 27315.

It is an arithmetic number, because the mean of its divisors is an integer number (9779490).

Almost surely, 2203134440 is an apocalyptic number.

203134440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203134440 is an abundant number, since it is smaller than the sum of its proper divisors (422752920).

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

203134440 is a wasteful number, since it uses less digits than its factorization.

203134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45802 (or 45798 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 203134440 is about 14252.5239869996. The cubic root of 203134440 is about 587.8427780863.

Adding to 203134440 its reverse (44431302), we get a palindrome (247565742).

It can be divided in two parts, 20313 and 4440, that added together give a triangular number (24753 = T222).

The spelling of 203134440 in words is "two hundred three million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 45751 91502 137253 183004 228755 274506 366008 457510 549012 686265 915020 1098024 1372530 1692787 1830040 2745060 3385574 5078361 5490120 6771148 8463935 10156722 13542296 16927870 20313444 25391805 33855740 40626888 50783610 67711480 101567220 203134440