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230405440 = 265821877
BaseRepresentation
bin11011011101110…
…11010101000000
3121001112210211211
431232323111000
5432440433230
634510215504
75465261656
oct1556732500
9531483754
10230405440
11109070021
12651b4594
13389719a5
1422858dd6
151536342a
hexdbbb540

230405440 has 56 divisors (see below), whose sum is σ = 549947592. Its totient is φ = 91944960.

The previous prime is 230405411. The next prime is 230405453. The reversal of 230405440 is 44504032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 196672576 = 5808^2 + 14024^2 .

It is a nialpdrome in base 16.

It is a congruent number.

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, 262282 + ... + 263158.

Almost surely, 2230405440 is an apocalyptic number.

230405440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230405440 is an abundant number, since it is smaller than the sum of its proper divisors (319542152).

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

230405440 is an equidigital number, since it uses as much as digits as its factorization.

230405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 230405440 is about 15179.1119634846. Note that the first 3 decimals coincide. The cubic root of 230405440 is about 613.0523707881.

Adding to 230405440 its reverse (44504032), we get a palindrome (274909472).

The spelling of 230405440 in words is "two hundred thirty million, four hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 821 877 1642 1754 3284 3508 4105 4385 6568 7016 8210 8770 13136 14032 16420 17540 26272 28064 32840 35080 52544 56128 65680 70160 131360 140320 262720 280640 720017 1440034 2880068 3600085 5760136 7200170 11520272 14400340 23040544 28800680 46081088 57601360 115202720 230405440