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5345224000 = 2653668153
BaseRepresentation
bin1001111101001100…
…11010010101000000
3111210111222111212021
410332212122111000
541421334132000
62242222411224
7246313440304
oct47646322500
914714874767
105345224000
1122a326a9a6
121052130b14
13672531c4c
14389c87d04
152143ea11a
hex13e99a540

5345224000 has 56 divisors (see below), whose sum is σ = 13237467048. Its totient is φ = 2138086400.

The previous prime is 5345223959. The next prime is 5345224013. The reversal of 5345224000 is 4225435.

It can be written as a sum of positive squares in 4 ways, for example, as 1085834304 + 4259389696 = 32952^2 + 65264^2 .

It is a super-2 number, since 2×53452240002 = 57142839220352000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326077 + ... + 342076.

Almost surely, 25345224000 is an apocalyptic number.

5345224000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5345224000 is an abundant number, since it is smaller than the sum of its proper divisors (7892243048).

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

5345224000 is an equidigital number, since it uses as much as digits as its factorization.

5345224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668180 (or 668160 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5345224000 is about 73111.0388381946. The cubic root of 5345224000 is about 1748.4583974789.

Adding to 5345224000 its reverse (4225435), we get a palindrome (5349449435).

The spelling of 5345224000 in words is "five billion, three hundred forty-five million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 668153 1336306 2672612 3340765 5345224 6681530 10690448 13363060 16703825 21380896 26726120 33407650 42761792 53452240 66815300 83519125 106904480 133630600 167038250 213808960 267261200 334076500 534522400 668153000 1069044800 1336306000 2672612000 5345224000