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2228863980 = 2235721136709
BaseRepresentation
bin1000010011011001…
…1100001111101100
312202100000000120210
42010312130033230
514031042121410
61005100142420
7106143013500
oct20466341754
95670000523
102228863980
11a44154552
12522537a10
132969c9535
14172032300
15d0a1e220
hex84d9c3ec

2228863980 has 144 divisors (see below), whose sum is σ = 7325065440. Its totient is φ = 504870912.

The previous prime is 2228863969. The next prime is 2228863981. The reversal of 2228863980 is 893688222.

2228863980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2228863981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328866 + ... + 335574.

It is an arithmetic number, because the mean of its divisors is an integer number (50868510).

Almost surely, 22228863980 is an apocalyptic number.

2228863980 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 2228863980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662532720).

2228863980 is an abundant number, since it is smaller than the sum of its proper divisors (5096201460).

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

2228863980 is a wasteful number, since it uses less digits than its factorization.

2228863980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2228863980 is about 47210.8459996217. The cubic root of 2228863980 is about 1306.2546674436.

It can be divided in two parts, 22288 and 63980, that added together give a palindrome (86268).

The spelling of 2228863980 in words is "two billion, two hundred twenty-eight million, eight hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 113 140 147 196 210 226 245 294 339 420 452 490 565 588 678 735 791 980 1130 1356 1470 1582 1695 2260 2373 2940 3164 3390 3955 4746 5537 6709 6780 7910 9492 11074 11865 13418 15820 16611 20127 22148 23730 26836 27685 33222 33545 40254 46963 47460 55370 66444 67090 80508 83055 93926 100635 110740 134180 140889 166110 187852 201270 234815 281778 328741 332220 402540 469630 563556 657482 704445 758117 939260 986223 1314964 1408890 1516234 1643705 1972446 2274351 2817780 3032468 3287410 3790585 3944892 4548702 4931115 5306819 6574820 7581170 9097404 9862230 10613638 11371755 15162340 15920457 19724460 21227276 22743510 26534095 31840914 37147733 45487020 53068190 63681828 74295466 79602285 106136380 111443199 148590932 159204570 185738665 222886398 318409140 371477330 445772796 557215995 742954660 1114431990 2228863980