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2184998112 = 253311229903
BaseRepresentation
bin1000001000111100…
…0110110011100000
312122021110101221000
42002033012303200
513433324414422
61000452032000
7105101114613
oct20217066340
95567411830
102184998112
11a21413470
1250b902600
1328a8ab1bb
1416a29417a
15cbc56cac
hex823c6ce0

2184998112 has 96 divisors (see below), whose sum is σ = 6952296960. Its totient is φ = 662117760.

The previous prime is 2184998099. The next prime is 2184998147. The reversal of 2184998112 is 2118994812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105448 + ... + 124455.

It is an arithmetic number, because the mean of its divisors is an integer number (72419760).

Almost surely, 22184998112 is an apocalyptic number.

2184998112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2184998112 is an abundant number, since it is smaller than the sum of its proper divisors (4767298848).

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

2184998112 is a wasteful number, since it uses less digits than its factorization.

2184998112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229933 (or 229919 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 2184998112 is about 46743.9633749643. The cubic root of 2184998112 is about 1297.6284399566.

The spelling of 2184998112 in words is "two billion, one hundred eighty-four million, nine hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 229903 459806 689709 919612 1379418 1839224 2069127 2528933 2758836 3678448 4138254 5057866 5517672 6207381 7356896 7586799 8276508 10115732 11035344 12414762 15173598 16553016 20231464 22070688 22760397 24829524 30347196 33106032 40462928 45520794 49659048 60694392 66212064 68281191 80925856 91041588 99318096 121388784 136562382 182083176 198636192 242777568 273124764 364166352 546249528 728332704 1092499056 2184998112