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1255223320 = 235134373769
BaseRepresentation
bin100101011010001…
…0011000000011000
310020110220221200121
41022310103000120
510032314121240
6324315443024
743051136131
oct11264230030
93213827617
101255223320
115945a494a
122b0456474
1317008b1c0
14bc9c6c88
15752e804a
hex4ad13018

1255223320 has 128 divisors (see below), whose sum is σ = 3158971200. Its totient is φ = 445906944.

The previous prime is 1255223311. The next prime is 1255223341. The reversal of 1255223320 is 233225521.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1631896 + ... + 1632664.

Almost surely, 21255223320 is an apocalyptic number.

1255223320 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 1255223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579485600).

1255223320 is an abundant number, since it is smaller than the sum of its proper divisors (1903747880).

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

1255223320 is a wasteful number, since it uses less digits than its factorization.

1255223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 1255223320 is about 35429.1309518029. The cubic root of 1255223320 is about 1078.7157001537.

Adding to 1255223320 its reverse (233225521), we get a palindrome (1488448841).

The spelling of 1255223320 in words is "one billion, two hundred fifty-five million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 73 86 104 130 146 172 215 260 292 344 365 430 520 559 584 730 769 860 949 1118 1460 1538 1720 1898 2236 2795 2920 3076 3139 3796 3845 4472 4745 5590 6152 6278 7592 7690 9490 9997 11180 12556 15380 15695 18980 19994 22360 25112 30760 31390 33067 37960 39988 40807 49985 56137 62780 66134 79976 81614 99970 112274 125560 132268 163228 165335 199940 204035 224548 264536 280685 326456 330670 399880 408070 429871 449096 561370 661340 729781 816140 859742 1122740 1322680 1459562 1632280 1719484 2149355 2245480 2413891 2919124 3438968 3648905 4298710 4827782 5838248 7297810 8597420 9655564 12069455 14595620 17194840 19311128 24138910 29191240 31380583 48277820 62761166 96555640 125522332 156902915 251044664 313805830 627611660 1255223320