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1220304320 = 26541281331
BaseRepresentation
bin100100010111100…
…0101110111000000
310011001012212211022
41020233011313000
54444344214240
6321031205012
742145262354
oct11057056700
93131185738
101220304320
11576914774
122a0816768
13165a83281
14b80d7464
15721eb9b5
hex48bc5dc0

1220304320 has 112 divisors (see below), whose sum is σ = 2996342496. Its totient is φ = 473088000.

The previous prime is 1220304301. The next prime is 1220304373. The reversal of 1220304320 is 234030221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3686555 + ... + 3686885.

It is an arithmetic number, because the mean of its divisors is an integer number (26753058).

Almost surely, 21220304320 is an apocalyptic number.

1220304320 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 1220304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498171248).

1220304320 is an abundant number, since it is smaller than the sum of its proper divisors (1776038176).

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

1220304320 is a wasteful number, since it uses less digits than its factorization.

1220304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1220304320 is about 34932.8544496438. The cubic root of 1220304320 is about 1068.6185683821.

Adding to 1220304320 its reverse (234030221), we get a palindrome (1454334541).

The spelling of 1220304320 in words is "one billion, two hundred twenty million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 281 320 328 331 410 562 656 662 820 1124 1312 1324 1405 1640 1655 2248 2624 2648 2810 3280 3310 4496 5296 5620 6560 6620 8992 10592 11240 11521 13120 13240 13571 17984 21184 22480 23042 26480 27142 44960 46084 52960 54284 57605 67855 89920 92168 93011 105920 108568 115210 135710 184336 186022 217136 230420 271420 368672 372044 434272 460840 465055 542840 737344 744088 868544 921680 930110 1085680 1488176 1843360 1860220 2171360 2976352 3686720 3720440 3813451 4342720 5952704 7440880 7626902 14881760 15253804 19067255 29763520 30507608 38134510 61015216 76269020 122030432 152538040 244060864 305076080 610152160 1220304320