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2223255150 = 232527367679
BaseRepresentation
bin1000010010000100…
…0010111001101110
312201221110001201100
42010201002321232
514023123131100
61004340023530
7106044233304
oct20441027156
95657401640
102223255150
11a40a73556
12520691ba6
132957b45bc
141713b2274
15d02b2400
hex84842e6e

2223255150 has 72 divisors (see below), whose sum is σ = 6055058880. Its totient is φ = 584737920.

The previous prime is 2223255109. The next prime is 2223255157. The reversal of 2223255150 is 515523222.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223255157) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 990 + ... + 66689.

It is an arithmetic number, because the mean of its divisors is an integer number (84098040).

Almost surely, 22223255150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223255150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027529440).

2223255150 is an abundant number, since it is smaller than the sum of its proper divisors (3831803730).

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

2223255150 is a wasteful number, since it uses less digits than its factorization.

2223255150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67770 (or 67762 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2223255150 is about 47151.4066598230. The cubic root of 2223255150 is about 1305.1580378474.

Adding to 2223255150 its reverse (515523222), we get a palindrome (2738778372).

It can be divided in two parts, 222325 and 5150, that added together give a triangular number (227475 = T674).

The spelling of 2223255150 in words is "two billion, two hundred twenty-three million, two hundred fifty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1314 1825 2190 3285 3650 5475 6570 10950 16425 32850 67679 135358 203037 338395 406074 609111 676790 1015185 1218222 1691975 2030370 3045555 3383950 4940567 5075925 6091110 9881134 10151850 14821701 15227775 24702835 29643402 30455550 44465103 49405670 74108505 88930206 123514175 148217010 222325515 247028350 370542525 444651030 741085050 1111627575 2223255150