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230223330 = 233523131283
BaseRepresentation
bin11011011100011…
…10110111100010
3121001012120001000
431232032313202
5432414121310
634502252430
75463603021
oct1556166742
9531176030
10230223330
11108a56217
1265127116
1338909b2c
142280c8b8
15153294c0
hexdb8ede2

230223330 has 128 divisors (see below), whose sum is σ = 647792640. Its totient is φ = 58069440.

The previous prime is 230223317. The next prime is 230223341. The reversal of 230223330 is 33322032.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 813369 + ... + 813651.

It is an arithmetic number, because the mean of its divisors is an integer number (5060880).

Almost surely, 2230223330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323896320).

230223330 is an abundant number, since it is smaller than the sum of its proper divisors (417569310).

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

230223330 is a wasteful number, since it uses less digits than its factorization.

230223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230223330 is about 15173.1120736650. The cubic root of 230223330 is about 612.8908115327.

Adding to 230223330 its reverse (33322032), we get a palindrome (263545362).

The spelling of 230223330 in words is "two hundred thirty million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 131 135 138 207 230 262 270 283 345 393 414 566 621 655 690 786 849 1035 1179 1242 1310 1415 1698 1965 2070 2358 2547 2830 3013 3105 3537 3930 4245 5094 5895 6026 6210 6509 7074 7641 8490 9039 11790 12735 13018 15065 15282 17685 18078 19527 25470 27117 30130 32545 35370 37073 38205 39054 45195 54234 58581 65090 74146 76410 81351 90390 97635 111219 117162 135585 162702 175743 185365 195270 222438 271170 292905 333657 351486 370730 406755 556095 585810 667314 813510 852679 878715 1000971 1112190 1668285 1705358 1757430 2001942 2558037 3336570 4263395 5004855 5116074 7674111 8526790 10009710 12790185 15348222 23022333 25580370 38370555 46044666 76741110 115111665 230223330