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230233540 = 225101293389
BaseRepresentation
bin11011011100100…
…01010111000100
3121001020002001011
431232101113010
5432414433130
634502412004
75463644545
oct1556212704
9531202034
10230233540
11108a62959
1265131004
1338911684
14228124cc
151532c52a
hexdb915c4

230233540 has 48 divisors (see below), whose sum is σ = 491203440. Its totient is φ = 90636800.

The previous prime is 230233489. The next prime is 230233541. The reversal of 230233540 is 45332032.

230233540 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 8 ways, for example, as 28366276 + 201867264 = 5326^2 + 14208^2 .

It is not an unprimeable number, because it can be changed into a prime (230233541) 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, 591666 + ... + 592054.

It is an arithmetic number, because the mean of its divisors is an integer number (10233405).

Almost surely, 2230233540 is an apocalyptic number.

230233540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230233540 is an abundant number, since it is smaller than the sum of its proper divisors (260969900).

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

230233540 is a wasteful number, since it uses less digits than its factorization.

230233540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 230233540 is about 15173.4485203595. The cubic root of 230233540 is about 612.8998716088.

Adding to 230233540 its reverse (45332032), we get a palindrome (275565572).

The spelling of 230233540 in words is "two hundred thirty million, two hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 101 202 293 389 404 505 586 778 1010 1172 1465 1556 1945 2020 2930 3890 5860 7780 29593 39289 59186 78578 113977 118372 147965 157156 196445 227954 295930 392890 455908 569885 591860 785780 1139770 2279540 11511677 23023354 46046708 57558385 115116770 230233540