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230252620 = 225131735119
BaseRepresentation
bin11011011100101…
…10000001001100
3121001021001012211
431232112001030
5432421040440
634503040204
75464054303
oct1556260114
9531231184
10230252620
11108a76224
1265140064
133891a270
142281943a
1515332eea
hexdb9604c

230252620 has 48 divisors (see below), whose sum is σ = 523837440. Its totient is φ = 84508416.

The previous prime is 230252611. The next prime is 230252647. The reversal of 230252620 is 26252032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 230252591 and 230252600.

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 15 ways as a sum of consecutive naturals, for example, 42421 + ... + 47539.

It is an arithmetic number, because the mean of its divisors is an integer number (10913280).

Almost surely, 2230252620 is an apocalyptic number.

230252620 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 230252620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261918720).

230252620 is an abundant number, since it is smaller than the sum of its proper divisors (293584820).

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

230252620 is a wasteful number, since it uses less digits than its factorization.

230252620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 230252620 is about 15174.0772371832. The cubic root of 230252620 is about 612.9168019636.

The spelling of 230252620 in words is "two hundred thirty million, two hundred fifty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3460 4498 5119 8996 10238 11245 20476 22490 25595 44980 51190 66547 102380 133094 266188 332735 665470 885587 1330940 1771174 3542348 4427935 8855870 11512631 17711740 23025262 46050524 57563155 115126310 230252620