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2289875120 = 245139722699
BaseRepresentation
bin1000100001111100…
…1011100010110000
312220120210201010122
42020133023202300
514142202000440
61015115545412
7110513421521
oct21037134260
95816721118
102289875120
11a75636085
1253aa5b268
132a653b7c0
1417a194848
15d60717b5
hex887cb8b0

2289875120 has 80 divisors (see below), whose sum is σ = 5792858400. Its totient is φ = 836739072.

The previous prime is 2289875111. The next prime is 2289875167. The reversal of 2289875120 is 215789822.

It is a tau number, because it is divible by the number of its divisors (80).

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, 89531 + ... + 112229.

It is an arithmetic number, because the mean of its divisors is an integer number (72410730).

Almost surely, 22289875120 is an apocalyptic number.

2289875120 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 2289875120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896429200).

2289875120 is an abundant number, since it is smaller than the sum of its proper divisors (3502983280).

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

2289875120 is a wasteful number, since it uses less digits than its factorization.

2289875120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22822 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 2289875120 is about 47852.6396346116. The cubic root of 2289875120 is about 1318.0663300573.

The spelling of 2289875120 in words is "two billion, two hundred eighty-nine million, eight hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 97 104 130 194 208 260 388 485 520 776 970 1040 1261 1552 1940 2522 3880 5044 6305 7760 10088 12610 20176 22699 25220 45398 50440 90796 100880 113495 181592 226990 295087 363184 453980 590174 907960 1180348 1475435 1815920 2201803 2360696 2950870 4403606 4721392 5901740 8807212 11009015 11803480 17614424 22018030 23606960 28623439 35228848 44036060 57246878 88072120 114493756 143117195 176144240 228987512 286234390 457975024 572468780 1144937560 2289875120