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1223013330 = 234571119609
BaseRepresentation
bin100100011100101…
…1011001111010010
310011020022111220000
41020321123033102
510001042411310
6321205230430
742210304350
oct11071331722
93136274800
101223013330
115783a5020
122a1702416
131664c1336
14b86007d0
15725844c0
hex48e5b3d2

1223013330 has 160 divisors (see below), whose sum is σ = 4100215680. Its totient is φ = 254119680.

The previous prime is 1223013283. The next prime is 1223013349. The reversal of 1223013330 is 333103221.

1223013330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52566 + ... + 72174.

It is an arithmetic number, because the mean of its divisors is an integer number (25626348).

Almost surely, 21223013330 is an apocalyptic number.

1223013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050107840).

1223013330 is an abundant number, since it is smaller than the sum of its proper divisors (2877202350).

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

1223013330 is a wasteful number, since it uses less digits than its factorization.

1223013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19646 (or 19637 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1223013330 is about 34971.6074837860. The cubic root of 1223013330 is about 1069.4087425503.

Adding to 1223013330 its reverse (333103221), we get a palindrome (1556116551).

The spelling of 1223013330 in words is "one billion, two hundred twenty-three million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 81 90 99 105 110 126 135 154 162 165 189 198 210 231 270 297 315 330 378 385 405 462 495 567 594 630 693 770 810 891 945 990 1134 1155 1386 1485 1782 1890 2079 2310 2835 2970 3465 4158 4455 5670 6237 6930 8910 10395 12474 19609 20790 31185 39218 58827 62370 98045 117654 137263 176481 196090 215699 274526 294135 352962 411789 431398 529443 588270 647097 686315 823578 882405 1058886 1078495 1235367 1294194 1372630 1509893 1588329 1764810 1941291 2058945 2156990 2470734 2647215 3019786 3176658 3235485 3706101 3882582 4117890 4529679 5294430 5823873 6176835 6470970 7412202 7549465 7941645 9059358 9706455 11118303 11647746 12353670 13589037 15098930 15883290 17471619 18530505 19412910 22236606 22648395 27178074 29119365 34943238 37061010 40767111 45296790 55591515 58238730 67945185 81534222 87358095 111183030 122301333 135890370 174716190 203835555 244602666 407671110 611506665 1223013330