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230203664 = 24173732269
BaseRepresentation
bin11011011100010…
…10000100010000
3121001011120001122
431232022010100
5432413004124
634502021412
75463461465
oct1556120420
9531146048
10230203664
11108a42469
1265117868
1338900bb2
142280566c
151532375e
hexdb8a110

230203664 has 40 divisors (see below), whose sum is σ = 473730840. Its totient is φ = 107993088.

The previous prime is 230203657. The next prime is 230203669. The reversal of 230203664 is 466302032.

It can be written as a sum of positive squares in 4 ways, for example, as 16810000 + 213393664 = 4100^2 + 14608^2 .

It is not an unprimeable number, because it can be changed into a prime (230203669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100322 + ... + 102590.

It is an arithmetic number, because the mean of its divisors is an integer number (11843271).

Almost surely, 2230203664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230203664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236865420).

230203664 is an abundant number, since it is smaller than the sum of its proper divisors (243527176).

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

230203664 is a wasteful number, since it uses less digits than its factorization.

230203664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 230203664 is about 15172.4640055595. The cubic root of 230203664 is about 612.8733597047.

Adding to 230203664 its reverse (466302032), we get a palindrome (696505696).

The spelling of 230203664 in words is "two hundred thirty million, two hundred three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 373 746 1492 2269 2984 4538 5968 6341 9076 12682 18152 25364 36304 38573 50728 77146 101456 154292 308584 617168 846337 1692674 3385348 6770696 13541392 14387729 28775458 57550916 115101832 230203664