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2211122304 = 27321919377
BaseRepresentation
bin1000001111001011…
…0000110010000000
312201002121122120200
42003302300302000
514012021403204
61003224005200
7105536141466
oct20362606200
95632548520
102211122304
11a35136a06
12518600800
13293126cc1
1416d934836
15ce1b7539
hex83cb0c80

2211122304 has 48 divisors (see below), whose sum is σ = 6362738070. Its totient is φ = 737040384.

The previous prime is 2211122297. The next prime is 2211122351. The reversal of 2211122304 is 4032211122.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2020682304 + 190440000 = 44952^2 + 13800^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 958537 + ... + 960840.

Almost surely, 22211122304 is an apocalyptic number.

2211122304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2211122304 is an abundant number, since it is smaller than the sum of its proper divisors (4151615766).

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

2211122304 is a wasteful number, since it uses less digits than its factorization.

2211122304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919397 (or 1919382 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2211122304 is about 47022.5722818308. The cubic root of 2211122304 is about 1302.7795172060.

Adding to 2211122304 its reverse (4032211122), we get a palindrome (6243333426).

The spelling of 2211122304 in words is "two billion, two hundred eleven million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1919377 3838754 5758131 7677508 11516262 15355016 17274393 23032524 30710032 34548786 46065048 61420064 69097572 92130096 122840128 138195144 184260192 245680256 276390288 368520384 552780576 737040768 1105561152 2211122304