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230461420 = 22571646153
BaseRepresentation
bin11011011110010…
…00111111101100
3121001122122122011
431233020333230
5432444231140
634511331004
75465614120
oct1557107754
9531578564
10230461420
111090a9092
1265220a64
1338991307
1422871580
1515374cea
hexdbc8fec

230461420 has 24 divisors (see below), whose sum is σ = 553107744. Its totient is φ = 79015296.

The previous prime is 230461411. The next prime is 230461421. The reversal of 230461420 is 24164032.

It is a happy number.

It is a super-2 number, since 2×2304614202 = 106224932216832800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230461391 and 230461400.

It is not an unprimeable number, because it can be changed into a prime (230461421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822937 + ... + 823216.

It is an arithmetic number, because the mean of its divisors is an integer number (23046156).

Almost surely, 2230461420 is an apocalyptic number.

230461420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230461420 is an abundant number, since it is smaller than the sum of its proper divisors (322646324).

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

230461420 is a wasteful number, since it uses less digits than its factorization.

230461420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646169 (or 1646167 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 230461420 is about 15180.9558328848. The cubic root of 230461420 is about 613.1020164514.

The spelling of 230461420 in words is "two hundred thirty million, four hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1646153 3292306 6584612 8230765 11523071 16461530 23046142 32923060 46092284 57615355 115230710 230461420