Search a number
-
+
2294892880 = 24574499127
BaseRepresentation
bin1000100011001001…
…0100100101010000
312220221020122012121
42020302110211100
514144443033010
61015415304024
7110604160540
oct21062244520
95827218177
102294892880
11a78452a95
1254067b014
132a75a76a7
1417aadd320
15d67133da
hex88c94950

2294892880 has 80 divisors (see below), whose sum is σ = 6112108800. Its totient is φ = 784982016.

The previous prime is 2294892871. The next prime is 2294892881. The reversal of 2294892880 is 882984922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2294892881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246877 + ... + 256003.

It is an arithmetic number, because the mean of its divisors is an integer number (76401360).

Almost surely, 22294892880 is an apocalyptic number.

2294892880 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 2294892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056054400).

2294892880 is an abundant number, since it is smaller than the sum of its proper divisors (3817215920).

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

2294892880 is a wasteful number, since it uses less digits than its factorization.

2294892880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 2294892880 is about 47905.0402358666. The cubic root of 2294892880 is about 1319.0283789580.

The spelling of 2294892880 in words is "two billion, two hundred ninety-four million, eight hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 449 560 898 1796 2245 3143 3592 4490 6286 7184 8980 9127 12572 15715 17960 18254 25144 31430 35920 36508 45635 50288 62860 63889 73016 91270 125720 127778 146032 182540 251440 255556 319445 365080 511112 638890 730160 1022224 1277780 2555560 4098023 5111120 8196046 16392092 20490115 28686161 32784184 40980230 57372322 65568368 81960460 114744644 143430805 163920920 229489288 286861610 327841840 458978576 573723220 1147446440 2294892880