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2289885660 = 223357095981
BaseRepresentation
bin1000100001111100…
…1110000111011100
312220120211020121000
42020133032013130
514142202320120
61015120110300
7110513464326
oct21037160734
95816736530
102289885660
11a75642a97
1253aa65390
132a654353a
1417a198616
15d6074990
hex887ce1dc

2289885660 has 96 divisors (see below), whose sum is σ = 7135329600. Its totient is φ = 609672960.

The previous prime is 2289885613. The next prime is 2289885671. The reversal of 2289885660 is 665889822.

2289885660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2289885597 and 2289885606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379870 + ... + 385850.

It is an arithmetic number, because the mean of its divisors is an integer number (74326350).

Almost surely, 22289885660 is an apocalyptic number.

2289885660 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 2289885660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567664800).

2289885660 is an abundant number, since it is smaller than the sum of its proper divisors (4845443940).

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

2289885660 is a wasteful number, since it uses less digits than its factorization.

2289885660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6708 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 2289885660 is about 47852.7497642507. The cubic root of 2289885660 is about 1318.0683523507.

The spelling of 2289885660 in words is "two billion, two hundred eighty-nine million, eight hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 709 1418 2127 2836 3545 4254 5981 6381 7090 8508 10635 11962 12762 14180 17943 19143 21270 23924 25524 29905 31905 35886 38286 42540 53829 59810 63810 71772 76572 89715 95715 107658 119620 127620 161487 179430 191430 215316 269145 322974 358860 382860 538290 645948 807435 1076580 1614870 3229740 4240529 8481058 12721587 16962116 21202645 25443174 38164761 42405290 50886348 63607935 76329522 84810580 114494283 127215870 152659044 190823805 228988566 254431740 381647610 457977132 572471415 763295220 1144942830 2289885660