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230231540 = 225711213591
BaseRepresentation
bin11011011100100…
…00110111110100
3121001012222022002
431232100313310
5432414402130
634502354432
75463635660
oct1556206764
9531188262
10230231540
11108a61400
126512ba18
13389107a6
14228118a0
151532bb45
hexdb90df4

230231540 has 72 divisors (see below), whose sum is σ = 607399296. Its totient is φ = 71755200.

The previous prime is 230231539. The next prime is 230231549. The reversal of 230231540 is 45132032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230231549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10145 + ... + 23735.

Almost surely, 2230231540 is an apocalyptic number.

230231540 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 230231540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303699648).

230231540 is an abundant number, since it is smaller than the sum of its proper divisors (377167756).

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

230231540 is a wasteful number, since it uses less digits than its factorization.

230231540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13629 (or 13616 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 230231540 is about 15173.3826156200. The cubic root of 230231540 is about 612.8980968844.

Adding to 230231540 its reverse (45132032), we get a palindrome (275363572).

The spelling of 230231540 in words is "two hundred thirty million, two hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 13591 16940 27182 54364 67955 95137 135910 149501 190274 271820 299002 380548 475685 598004 747505 951370 1046507 1495010 1644511 1902740 2093014 2990020 3289022 4186028 5232535 6578044 8222555 10465070 11511577 16445110 20930140 23023154 32890220 46046308 57557885 115115770 230231540