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230267835 = 32572337859
BaseRepresentation
bin11011011100110…
…01101110111011
3121001021211002100
431232121232323
5432422032320
634503234443
75464146540
oct1556315673
9531254070
10230267835
11108a866a6
1265148a23
1338924175
1422820bc7
1515337790
hexdb99bbb

230267835 has 96 divisors (see below), whose sum is σ = 489415680. Its totient is φ = 97853184.

The previous prime is 230267833. The next prime is 230267879. The reversal of 230267835 is 538762032.

It is not a de Polignac number, because 230267835 - 21 = 230267833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230267835.

It is not an unprimeable number, because it can be changed into a prime (230267833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267636 + ... + 268494.

It is an arithmetic number, because the mean of its divisors is an integer number (5098080).

Almost surely, 2230267835 is an apocalyptic number.

230267835 is an abundant number, since it is smaller than the sum of its proper divisors (259147845).

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

230267835 is a wasteful number, since it uses less digits than its factorization.

230267835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 230267835 is about 15174.5785773444. The cubic root of 230267835 is about 612.9303020977.

The spelling of 230267835 in words is "two hundred thirty million, two hundred sixty-seven thousand, eight hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 23 35 37 45 63 69 105 111 115 161 185 207 259 315 333 345 483 555 777 805 851 859 1035 1295 1449 1665 2331 2415 2553 2577 3885 4255 4295 5957 6013 7245 7659 7731 11655 12765 12885 17871 18039 19757 29785 30065 31783 38295 38655 53613 54117 59271 89355 90195 95349 98785 138299 158915 177813 222481 268065 270585 286047 296355 414897 476745 667443 691495 731009 889065 1112405 1244691 1430235 2002329 2074485 2193027 3337215 3655045 5117063 6223455 6579081 10011645 10965135 15351189 25585315 32895405 46053567 76755945 230267835