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5223327144 = 233731232353
BaseRepresentation
bin1001101110101010…
…11010010110101000
3111111000121111210220
410313111122112220
541144132432034
62222150010040
7243303356010
oct46725322650
914430544726
105223327144
112240482aa2
121019346920
136531c2829
143779d6c40
1520886c749
hex13755a5a8

5223327144 has 96 divisors (see below), whose sum is σ = 15421210560. Its totient is φ = 1444193280.

The previous prime is 5223327121. The next prime is 5223327149. The reversal of 5223327144 is 4417233225.

It is not an unprimeable number, because it can be changed into a prime (5223327149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145272 + ... + 177624.

It is an arithmetic number, because the mean of its divisors is an integer number (160637610).

Almost surely, 25223327144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5223327144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7710605280).

5223327144 is an abundant number, since it is smaller than the sum of its proper divisors (10197883416).

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

5223327144 is a wasteful number, since it uses less digits than its factorization.

5223327144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32431 (or 32396 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 5223327144 is about 72272.5891607600. The cubic root of 5223327144 is about 1735.0649726656.

The spelling of 5223327144 in words is "five billion, two hundred twenty-three million, three hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 961 1302 1736 1922 2604 2883 3844 5208 5766 6727 7688 11532 13454 20181 23064 26908 32353 40362 53816 64706 80724 97059 129412 161448 194118 226471 258824 388236 452942 679413 776472 905884 1002943 1358826 1811768 2005886 2717652 3008829 4011772 5435304 6017658 7020601 8023544 12035316 14041202 21061803 24070632 28082404 31091233 42123606 56164808 62182466 84247212 93273699 124364932 168494424 186547398 217638631 248729864 373094796 435277262 652915893 746189592 870554524 1305831786 1741109048 2611663572 5223327144