Search a number
-
+
2293822680 = 2335313471777
BaseRepresentation
bin1000100010111000…
…1111010011011000
312220212020021011120
42020232033103120
514144204311210
61015340325240
7110562112452
oct21056172330
95825207146
102293822680
11a77891a26
12540243820
132a72c1536
1417a9012d2
15d65a1270
hex88b8f4d8

2293822680 has 128 divisors (see below), whose sum is σ = 7127930880. Its totient is φ = 589916160.

The previous prime is 2293822673. The next prime is 2293822693. The reversal of 2293822680 is 862283922.

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, 1289952 + ... + 1291728.

It is an arithmetic number, because the mean of its divisors is an integer number (55686960).

Almost surely, 22293822680 is an apocalyptic number.

2293822680 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 2293822680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563965440).

2293822680 is an abundant number, since it is smaller than the sum of its proper divisors (4834108200).

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

2293822680 is a wasteful number, since it uses less digits than its factorization.

2293822680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2293822680 is about 47893.8689186831. The cubic root of 2293822680 is about 1318.8233085787.

The spelling of 2293822680 in words is "two billion, two hundred ninety-three million, eight hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 347 372 465 620 694 744 930 1041 1240 1388 1735 1777 1860 2082 2776 3470 3554 3720 4164 5205 5331 6940 7108 8328 8885 10410 10662 10757 13880 14216 17770 20820 21324 21514 26655 32271 35540 41640 42648 43028 53310 53785 55087 64542 71080 86056 106620 107570 110174 129084 161355 165261 213240 215140 220348 258168 275435 322710 330522 430280 440696 550870 616619 645420 661044 826305 1101740 1233238 1290840 1322088 1652610 1849857 2203480 2466476 3083095 3305220 3699714 4932952 6166190 6610440 7399428 9249285 12332380 14798856 18498570 19115189 24664760 36997140 38230378 57345567 73994280 76460756 95575945 114691134 152921512 191151890 229382268 286727835 382303780 458764536 573455670 764607560 1146911340 2293822680