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230305302 = 233231071733
BaseRepresentation
bin11011011101000…
…10111000010110
3121001100201111000
431232202320112
5432424232202
634504124130
75464364013
oct1556427026
9531321430
10230305302
11109001867
1265166646
1338938236
142283070a
151534391c
hexdba2e16

230305302 has 64 divisors (see below), whose sum is σ = 539343360. Its totient is φ = 72702432.

The previous prime is 230305223. The next prime is 230305333. The reversal of 230305302 is 203503032.

It is a super-2 number, since 2×2303053022 = 106081064258622408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132028 + ... + 133760.

It is an arithmetic number, because the mean of its divisors is an integer number (8427240).

Almost surely, 2230305302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230305302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269671680).

230305302 is an abundant number, since it is smaller than the sum of its proper divisors (309038058).

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

230305302 is a wasteful number, since it uses less digits than its factorization.

230305302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 230305302 is about 15175.8130589435. The cubic root of 230305302 is about 612.9635436983.

Adding to 230305302 its reverse (203503032), we get a palindrome (433808334).

The spelling of 230305302 in words is "two hundred thirty million, three hundred five thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 107 138 207 214 321 414 621 642 963 1242 1733 1926 2461 2889 3466 4922 5199 5778 7383 10398 14766 15597 22149 31194 39859 44298 46791 66447 79718 93582 119577 132894 185431 239154 358731 370862 556293 717462 1076193 1112586 1668879 2152386 3337758 4264913 5006637 8529826 10013274 12794739 25589478 38384217 76768434 115152651 230305302