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2244133120 = 2851753229
BaseRepresentation
bin1000010111000010…
…1100000100000000
312210101201202220111
42011300230010000
514043444224440
61010403321104
7106416550105
oct20560540400
95711652814
102244133120
11a51833479
12527680194
13299c14528
14174088aac
15d20384ea
hex85c2c100

2244133120 has 36 divisors (see below), whose sum is σ = 5375403180. Its totient is φ = 897652736.

The previous prime is 2244133109. The next prime is 2244133193. The reversal of 2244133120 is 213314422.

It can be written as a sum of positive squares in 2 ways, for example, as 1243549696 + 1000583424 = 35264^2 + 31632^2 .

It is a super-2 number, since 2×22441331202 = 10072266920561868800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2244133091 and 2244133100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 875335 + ... + 877894.

It is an arithmetic number, because the mean of its divisors is an integer number (149316755).

Almost surely, 22244133120 is an apocalyptic number.

2244133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244133120 is an abundant number, since it is smaller than the sum of its proper divisors (3131270060).

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

2244133120 is an equidigital number, since it uses as much as digits as its factorization.

2244133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753250 (or 1753236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2244133120 is about 47372.2821911717. The cubic root of 2244133120 is about 1309.2307742443.

Adding to 2244133120 its reverse (213314422), we get a palindrome (2457447542).

The spelling of 2244133120 in words is "two billion, two hundred forty-four million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1753229 3506458 7012916 8766145 14025832 17532290 28051664 35064580 56103328 70129160 112206656 140258320 224413312 280516640 448826624 561033280 1122066560 2244133120