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230203040 = 2551817949
BaseRepresentation
bin11011011100010…
…01111010100000
3121001011112012112
431232021322200
5432412444130
634502014452
75463456614
oct1556117240
9531145175
10230203040
11108a41a51
1265117428
1338900822
1422805344
1515323495
hexdb89ea0

230203040 has 48 divisors (see below), whose sum is σ = 546928200. Its totient is φ = 91560960.

The previous prime is 230203013. The next prime is 230203079. The reversal of 230203040 is 40302032.

230203040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108409744 + 121793296 = 10412^2 + 11036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24986 + ... + 32934.

Almost surely, 2230203040 is an apocalyptic number.

230203040 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 230203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273464100).

230203040 is an abundant number, since it is smaller than the sum of its proper divisors (316725160).

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

230203040 is a wasteful number, since it uses less digits than its factorization.

230203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8145 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230203040 is about 15172.4434419773. The cubic root of 230203040 is about 612.8728059438.

Adding to 230203040 its reverse (40302032), we get a palindrome (270505072).

The spelling of 230203040 in words is "two hundred thirty million, two hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 5792 7240 7949 14480 15898 28960 31796 39745 63592 79490 127184 158980 254368 317960 635920 1271840 1438769 2877538 5755076 7193845 11510152 14387690 23020304 28775380 46040608 57550760 115101520 230203040