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230431120 = 2452880389
BaseRepresentation
bin11011011110000…
…01100110010000
3121001121010001221
431233001212100
5432442243440
634510534424
75465426563
oct1557014620
9531533057
10230431120
11109088347
1265207414
133898059a
14228644da
151536ad4a
hexdbc1990

230431120 has 20 divisors (see below), whose sum is σ = 535752540. Its totient is φ = 92172416.

The previous prime is 230431081. The next prime is 230431169. The reversal of 230431120 is 21134032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63297936 + 167133184 = 7956^2 + 12928^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 230431094 and 230431103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1440115 + ... + 1440274.

It is an arithmetic number, because the mean of its divisors is an integer number (26787627).

Almost surely, 2230431120 is an apocalyptic number.

230431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230431120 is an abundant number, since it is smaller than the sum of its proper divisors (305321420).

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

230431120 is a wasteful number, since it uses less digits than its factorization.

230431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880402 (or 2880396 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 230431120 is about 15179.9578392036. The cubic root of 230431120 is about 613.0751460027.

Adding to 230431120 its reverse (21134032), we get a palindrome (251565152).

The spelling of 230431120 in words is "two hundred thirty million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2880389 5760778 11521556 14401945 23043112 28803890 46086224 57607780 115215560 230431120