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2228113280 = 27519971889
BaseRepresentation
bin1000010011001110…
…0100111110000000
312202021120212211002
42010303210332000
514030344111110
61005032111132
7106133436041
oct20463447600
95667525732
102228113280
11a43791538
125222354a8
132967c5933
14171cb88c8
15d0921aa5
hex84ce4f80

2228113280 has 128 divisors (see below), whose sum is σ = 5667732000. Its totient is φ = 835190784.

The previous prime is 2228113271. The next prime is 2228113291. The reversal of 2228113280 is 823118222.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1178576 + ... + 1180464.

Almost surely, 22228113280 is an apocalyptic number.

2228113280 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 2228113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833866000).

2228113280 is an abundant number, since it is smaller than the sum of its proper divisors (3439618720).

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

2228113280 is a wasteful number, since it uses less digits than its factorization.

2228113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2228113280 is about 47202.8948264828. The cubic root of 2228113280 is about 1306.1079984828.

The spelling of 2228113280 in words is "two billion, two hundred twenty-eight million, one hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 97 128 152 160 190 194 304 320 380 388 485 608 640 760 776 970 1216 1520 1552 1843 1889 1940 2432 3040 3104 3686 3778 3880 6080 6208 7372 7556 7760 9215 9445 12160 12416 14744 15112 15520 18430 18890 29488 30224 31040 35891 36860 37780 58976 60448 62080 71782 73720 75560 117952 120896 143564 147440 151120 179455 183233 235904 241792 287128 294880 302240 358910 366466 574256 589760 604480 717820 732932 916165 1148512 1179520 1208960 1435640 1465864 1832330 2297024 2871280 2931728 3481427 3664660 4594048 5742560 5863456 6962854 7329320 11485120 11726912 13925708 14658640 17407135 22970240 23453824 27851416 29317280 34814270 55702832 58634560 69628540 111405664 117269120 139257080 222811328 278514160 445622656 557028320 1114056640 2228113280