Search a number
-
+
2246384940 = 2235136127509
BaseRepresentation
bin1000010111100101…
…0001110100101100
312210112222011211020
42011321101310230
514100033304230
61010523454140
7106444646142
oct20571216454
95715864736
102246384940
11a53031288
12528387350
1329a522477
141744b3592
15d2330810
hex85e51d2c

2246384940 has 48 divisors (see below), whose sum is σ = 6294728160. Its totient is φ = 598574080.

The previous prime is 2246384929. The next prime is 2246384983. The reversal of 2246384940 is 494836422.

It is a junction number, because it is equal to n+sod(n) for n = 2246384892 and 2246384901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67906 + ... + 95414.

It is an arithmetic number, because the mean of its divisors is an integer number (131140170).

Almost surely, 22246384940 is an apocalyptic number.

2246384940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246384940 is an abundant number, since it is smaller than the sum of its proper divisors (4048343220).

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

2246384940 is a wasteful number, since it uses less digits than its factorization.

2246384940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28882 (or 28880 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 2246384940 is about 47396.0435057611. The cubic root of 2246384940 is about 1309.6685329615.

The spelling of 2246384940 in words is "two billion, two hundred forty-six million, three hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1361 2722 4083 5444 6805 8166 13610 16332 20415 27220 27509 40830 55018 81660 82527 110036 137545 165054 275090 330108 412635 550180 825270 1650540 37439749 74879498 112319247 149758996 187198745 224638494 374397490 449276988 561596235 748794980 1123192470 2246384940