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2244122240 = 27531113111
BaseRepresentation
bin1000010111000010…
…1001011010000000
312210101201012222112
42011300221122000
514043443402430
61010403154452
7106416503303
oct20560513200
95711635875
102244122240
11a51826288
12527675a28
13299c0c5a9
14174084b3a
15d2035195
hex85c29680

2244122240 has 64 divisors (see below), whose sum is σ = 5537963520. Its totient is φ = 868684800.

The previous prime is 2244122239. The next prime is 2244122299. The reversal of 2244122240 is 422214422.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36716 + ... + 76395.

It is an arithmetic number, because the mean of its divisors is an integer number (86530680).

Almost surely, 22244122240 is an apocalyptic number.

2244122240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244122240 is an abundant number, since it is smaller than the sum of its proper divisors (3293841280).

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

2244122240 is a wasteful number, since it uses less digits than its factorization.

2244122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113161 (or 113149 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 2244122240 is about 47372.1673559486. The cubic root of 2244122240 is about 1309.2286584378.

Adding to 2244122240 its reverse (422214422), we get a palindrome (2666336662).

The spelling of 2244122240 in words is "two billion, two hundred forty-four million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 113111 226222 452444 565555 904888 1131110 1809776 2262220 3506441 3619552 4524440 7012882 7239104 9048880 14025764 14478208 17532205 18097760 28051528 35064410 36195520 56103056 70128820 72391040 112206112 140257640 224412224 280515280 448824448 561030560 1122061120 2244122240