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230432020 = 225713126611
BaseRepresentation
bin11011011110000…
…01110100010100
3121001121011022021
431233001310110
5432442311040
634510542524
75465432320
oct1557016424
9531534267
10230432020
11109088a95
1265207a44
1338980b10
1422864980
151536b24a
hexdbc1d14

230432020 has 48 divisors (see below), whose sum is σ = 595582848. Its totient is φ = 72927360.

The previous prime is 230432011. The next prime is 230432047. The reversal of 230432020 is 20234032.

230432020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230431985 and 230432003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61486 + ... + 65125.

It is an arithmetic number, because the mean of its divisors is an integer number (12407976).

Almost surely, 2230432020 is an apocalyptic number.

230432020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230432020 is an abundant number, since it is smaller than the sum of its proper divisors (365150828).

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

230432020 is a wasteful number, since it uses less digits than its factorization.

230432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126640 (or 126638 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 230432020 is about 15179.9874835258. The cubic root of 230432020 is about 613.0759441688.

Adding to 230432020 its reverse (20234032), we get a palindrome (250666052).

The spelling of 230432020 in words is "two hundred thirty million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 126611 253222 506444 633055 886277 1266110 1645943 1772554 2532220 3291886 3545108 4431385 6583772 8229715 8862770 11521601 16459430 17725540 23043202 32918860 46086404 57608005 115216010 230432020