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230014760 = 23517192937
BaseRepresentation
bin11011011010110…
…11111100101000
3121000210221221012
431231123330220
5432340433020
634454003052
75462043653
oct1555337450
9530727835
10230014760
11108923548
1265046488
1338865c11
142279689a
15152d77c5
hexdb5bf28

230014760 has 96 divisors (see below), whose sum is σ = 578952360. Its totient is φ = 81948672.

The previous prime is 230014739. The next prime is 230014769. The reversal of 230014760 is 67410032.

It can be written as a sum of positive squares in 4 ways, for example, as 158206084 + 71808676 = 12578^2 + 8474^2 .

It is not an unprimeable number, because it can be changed into a prime (230014769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245012 + ... + 245948.

Almost surely, 2230014760 is an apocalyptic number.

230014760 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 230014760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289476180).

230014760 is an abundant number, since it is smaller than the sum of its proper divisors (348937600).

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

230014760 is a wasteful number, since it uses less digits than its factorization.

230014760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 230014760 is about 15166.2375030856. The cubic root of 230014760 is about 612.7056735357.

Adding to 230014760 its reverse (67410032), we get a palindrome (297424792).

The spelling of 230014760 in words is "two hundred thirty million, fourteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 361 380 646 680 722 760 937 1292 1444 1615 1805 1874 2584 2888 3230 3610 3748 4685 6137 6460 7220 7496 9370 12274 12920 14440 15929 17803 18740 24548 30685 31858 35606 37480 49096 61370 63716 71212 79645 89015 122740 127432 142424 159290 178030 245480 302651 318580 338257 356060 605302 637160 676514 712120 1210604 1353028 1513255 1691285 2421208 2706056 3026510 3382570 5750369 6053020 6765140 11500738 12106040 13530280 23001476 28751845 46002952 57503690 115007380 230014760