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1223030320 = 245177397127
BaseRepresentation
bin100100011100101…
…1111011000110000
310011020100101012021
41020321133120300
510001043432240
6321205441224
742210405031
oct11071373060
93136311167
101223030320
11578406866
122a1710214
131664c8ca5
14b8606a88
157258954a
hex48e5f630

1223030320 has 160 divisors (see below), whose sum is σ = 3107801088. Its totient is φ = 445906944.

The previous prime is 1223030299. The next prime is 1223030327. The reversal of 1223030320 is 230303221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1223030294 and 1223030303.

It is not an unprimeable number, because it can be changed into a prime (1223030327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9630097 + ... + 9630223.

Almost surely, 21223030320 is an apocalyptic number.

1223030320 is a gapful number since it is divisible by the number (10) 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 1223030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553900544).

1223030320 is an abundant number, since it is smaller than the sum of its proper divisors (1884770768).

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

1223030320 is a wasteful number, since it uses less digits than its factorization.

1223030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1223030320 is about 34971.8503942814. The cubic root of 1223030320 is about 1069.4136945733.

Adding to 1223030320 its reverse (230303221), we get a palindrome (1453333541).

The spelling of 1223030320 in words is "one billion, two hundred twenty-three million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 73 80 85 97 127 136 146 170 194 254 272 292 340 365 388 485 508 584 635 680 730 776 970 1016 1168 1241 1270 1360 1460 1552 1649 1940 2032 2159 2482 2540 2920 3298 3880 4318 4964 5080 5840 6205 6596 7081 7760 8245 8636 9271 9928 10160 10795 12319 12410 13192 14162 16490 17272 18542 19856 21590 24638 24820 26384 28324 32980 34544 35405 37084 43180 46355 49276 49640 56648 61595 65960 70810 74168 86360 92710 98552 99280 113296 120377 123190 131920 141620 148336 157607 172720 185420 197104 209423 240754 246380 283240 315214 370840 418846 481508 492760 566480 601885 630428 741680 788035 837692 899287 963016 985520 1047115 1203770 1260856 1576070 1675384 1798574 1926032 2094230 2407540 2521712 3152140 3350768 3597148 4188460 4496435 4815080 6304280 7194296 8376920 8992870 9630160 12608560 14388592 15287879 16753840 17985740 30575758 35971480 61151516 71942960 76439395 122303032 152878790 244606064 305757580 611515160 1223030320