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2255793960 = 233574495981
BaseRepresentation
bin1000011001110100…
…1010111100101000
312211012200012120110
42012131022330220
514104440401320
61011501254320
7106620634530
oct20635127450
95735605513
102255793960
11a58378432
1252b5643a0
1329c468034
141758424c0
15d308d5e0
hex8674af28

2255793960 has 128 divisors (see below), whose sum is σ = 7752672000. Its totient is φ = 514375680.

The previous prime is 2255793949. The next prime is 2255793961. The reversal of 2255793960 is 693975522.

It is not an unprimeable number, because it can be changed into a prime (2255793961) 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, 374170 + ... + 380150.

It is an arithmetic number, because the mean of its divisors is an integer number (60567750).

Almost surely, 22255793960 is an apocalyptic number.

2255793960 is a gapful number since it is divisible by the number (20) 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 2255793960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876336000).

2255793960 is an abundant number, since it is smaller than the sum of its proper divisors (5496878040).

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

2255793960 is a wasteful number, since it uses less digits than its factorization.

2255793960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 2255793960 is about 47495.1993363540. The cubic root of 2255793960 is about 1311.4945086313.

The spelling of 2255793960 in words is "two billion, two hundred fifty-five million, seven hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 449 840 898 1347 1796 2245 2694 3143 3592 4490 5388 5981 6286 6735 8980 9429 10776 11962 12572 13470 15715 17943 17960 18858 23924 25144 26940 29905 31430 35886 37716 41867 47145 47848 53880 59810 62860 71772 75432 83734 89715 94290 119620 125601 125720 143544 167468 179430 188580 209335 239240 251202 334936 358860 377160 418670 502404 628005 717720 837340 1004808 1256010 1674680 2512020 2685469 5024040 5370938 8056407 10741876 13427345 16112814 18798283 21483752 26854690 32225628 37596566 40282035 53709380 56394849 64451256 75193132 80564070 93991415 107418760 112789698 150386264 161128140 187982830 225579396 281974245 322256280 375965660 451158792 563948490 751931320 1127896980 2255793960