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5453033220 = 22325176532729
BaseRepresentation
bin1010001010000011…
…01010111100000100
3112002000211210022100
411011001222330010
542131434030340
62301033232100
7252063006015
oct50501527404
915060753270
105453033220
112349105628
121082262630
1368b97b09b
1439a30d00c
1521dae3830
hex14506af04

5453033220 has 144 divisors (see below), whose sum is σ = 17547107760. Its totient is φ = 1366007808.

The previous prime is 5453033219. The next prime is 5453033227. The reversal of 5453033220 is 223303545.

It can be written as a sum of positive squares in 8 ways, for example, as 289748484 + 5163284736 = 17022^2 + 71856^2 .

It is not an unprimeable number, because it can be changed into a prime (5453033227) 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 47 ways as a sum of consecutive naturals, for example, 1996816 + ... + 1999544.

It is an arithmetic number, because the mean of its divisors is an integer number (121854915).

Almost surely, 25453033220 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 5453033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773553880).

5453033220 is an abundant number, since it is smaller than the sum of its proper divisors (12094074540).

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

5453033220 is a wasteful number, since it uses less digits than its factorization.

5453033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 5453033220 is about 73844.6560016363. The cubic root of 5453033220 is about 1760.1352792884.

Adding to 5453033220 its reverse (223303545), we get a palindrome (5676336765).

It can be divided in two parts, 5453033 and 220, that added together give a triangular number (5453253 = T3302).

The spelling of 5453033220 in words is "five billion, four hundred fifty-three million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 653 765 1020 1306 1530 1959 2612 2729 3060 3265 3918 5458 5877 6530 7836 8187 9795 10916 11101 11754 13060 13645 16374 19590 22202 23508 24561 27290 29385 32748 33303 39180 40935 44404 46393 49122 54580 55505 58770 66606 81870 92786 98244 99909 111010 117540 122805 133212 139179 163740 166515 185572 199818 222020 231965 245610 278358 333030 399636 417537 463930 491220 499545 556716 666060 695895 835074 927860 999090 1391790 1670148 1782037 1998180 2087685 2783580 3564074 4175370 5346111 7128148 8350740 8910185 10692222 16038333 17820370 21384444 26730555 30294629 32076666 35640740 53461110 60589258 64153332 80191665 90883887 106922220 121178516 151473145 160383330 181767774 272651661 302946290 320766660 363535548 454419435 545303322 605892580 908838870 1090606644 1363258305 1817677740 2726516610 5453033220