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2227946640 = 243547263751
BaseRepresentation
bin1000010011001011…
…1100010010010000
312202021021102020020
42010302330102100
514030323243030
61005024343440
7106132143153
oct20462742220
95667242206
102227946640
11a43688317
12522174b80
13296767b2a
14171c73c9a
15d08dc510
hex84cbc490

2227946640 has 160 divisors (see below), whose sum is σ = 7089831936. Its totient is φ = 578496000.

The previous prime is 2227946629. The next prime is 2227946647. The reversal of 2227946640 is 466497222.

It is a junction number, because it is equal to n+sod(n) for n = 2227946592 and 2227946601.

It is not an unprimeable number, because it can be changed into a prime (2227946647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2966265 + ... + 2967015.

Almost surely, 22227946640 is an apocalyptic number.

2227946640 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 2227946640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544915968).

2227946640 is an abundant number, since it is smaller than the sum of its proper divisors (4861885296).

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

2227946640 is a wasteful number, since it uses less digits than its factorization.

2227946640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 2227946640 is about 47201.1296474989. The cubic root of 2227946640 is about 1306.0754365143.

The spelling of 2227946640 in words is "two billion, two hundred twenty-seven million, nine hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 263 282 376 470 526 564 705 751 752 789 940 1052 1128 1315 1410 1502 1578 1880 2104 2253 2256 2630 2820 3004 3156 3755 3760 3945 4208 4506 5260 5640 6008 6312 7510 7890 9012 10520 11265 11280 12016 12361 12624 15020 15780 18024 21040 22530 24722 30040 31560 35297 36048 37083 45060 49444 60080 61805 63120 70594 74166 90120 98888 105891 123610 141188 148332 176485 180240 185415 197513 197776 211782 247220 282376 296664 352970 370830 395026 423564 494440 529455 564752 592539 593328 705940 741660 790052 847128 987565 988880 1058910 1185078 1411880 1483320 1580104 1694256 1975130 2117820 2370156 2823760 2962695 2966640 3160208 3950260 4235640 4740312 5925390 7900520 8471280 9283111 9480624 11850780 15801040 18566222 23701560 27849333 37132444 46415555 47403120 55698666 74264888 92831110 111397332 139246665 148529776 185662220 222794664 278493330 371324440 445589328 556986660 742648880 1113973320 2227946640