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2276189960 = 2351116730977
BaseRepresentation
bin1000011110101011…
…1110011100001000
312212122001102121212
42013222332130020
514130201034320
61013510352252
7110256203222
oct20752763410
95778042555
102276189960
11a68939230
1253635b688
132a3759785
14178431412
15d4c6b9c5
hex87abe708

2276189960 has 64 divisors (see below), whose sum is σ = 5620648320. Its totient is φ = 822722560.

The previous prime is 2276189941. The next prime is 2276190011. The reversal of 2276189960 is 699816722.

It is a happy number.

2276189960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2276189899 and 2276189908.

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, 57992 + ... + 88968.

It is an arithmetic number, because the mean of its divisors is an integer number (87822630).

Almost surely, 22276189960 is an apocalyptic number.

2276189960 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 2276189960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810324160).

2276189960 is an abundant number, since it is smaller than the sum of its proper divisors (3344458360).

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

2276189960 is a wasteful number, since it uses less digits than its factorization.

2276189960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31166 (or 31162 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 50.

The square root of 2276189960 is about 47709.4326103340. The cubic root of 2276189960 is about 1315.4353274445.

The spelling of 2276189960 in words is "two billion, two hundred seventy-six million, one hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 668 835 1336 1670 1837 3340 3674 6680 7348 9185 14696 18370 30977 36740 61954 73480 123908 154885 247816 309770 340747 619540 681494 1239080 1362988 1703735 2725976 3407470 5173159 6814940 10346318 13629880 20692636 25865795 41385272 51731590 56904749 103463180 113809498 206926360 227618996 284523745 455237992 569047490 1138094980 2276189960