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2288853240 = 2335199911013
BaseRepresentation
bin1000100001101101…
…0010000011111000
312220111212210101020
42020123102003320
514141421300430
61015042022440
7110501634342
oct21033220370
95814783336
102288853240
11a74aa8353
1253a647a20
132a627163b
14179daa292
15d5e1db10
hex886d20f8

2288853240 has 128 divisors (see below), whose sum is σ = 7242393600. Its totient is φ = 577082880.

The previous prime is 2288853239. The next prime is 2288853251. The reversal of 2288853240 is 423588822.

It is a junction number, because it is equal to n+sod(n) for n = 2288853192 and 2288853201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2258974 + ... + 2259986.

It is an arithmetic number, because the mean of its divisors is an integer number (56581200).

Almost surely, 22288853240 is an apocalyptic number.

2288853240 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 2288853240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621196800).

2288853240 is an abundant number, since it is smaller than the sum of its proper divisors (4953540360).

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

2288853240 is a wasteful number, since it uses less digits than its factorization.

2288853240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 2288853240 is about 47841.9610802066. The cubic root of 2288853240 is about 1317.8702340612.

The spelling of 2288853240 in words is "two billion, two hundred eighty-eight million, eight hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 991 1013 1140 1982 2026 2280 2973 3039 3964 4052 4955 5065 5946 6078 7928 8104 9910 10130 11892 12156 14865 15195 18829 19247 19820 20260 23784 24312 29730 30390 37658 38494 39640 40520 56487 57741 59460 60780 75316 76988 94145 96235 112974 115482 118920 121560 150632 153976 188290 192470 225948 230964 282435 288705 376580 384940 451896 461928 564870 577410 753160 769880 1003883 1129740 1154820 2007766 2259480 2309640 3011649 4015532 5019415 6023298 8031064 10038830 12046596 15058245 19073777 20077660 24093192 30116490 38147554 40155320 57221331 60232980 76295108 95368885 114442662 120465960 152590216 190737770 228885324 286106655 381475540 457770648 572213310 762951080 1144426620 2288853240