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4224270500 = 2253172917137
BaseRepresentation
bin1111101111001001…
…0100000010100100
3101220101201011201222
43323302110002210
532122403124000
61535100435512
7206452464302
oct37362240244
911811634658
104224270500
111878543a4a
1299a848b98
13524225b58
142c1053272
1519acc5a85
hexfbc940a4

4224270500 has 96 divisors (see below), whose sum is σ = 10105935840. Its totient is φ = 1535385600.

The previous prime is 4224270499. The next prime is 4224270509. The reversal of 4224270500 is 50724224.

It can be written as a sum of positive squares in 16 ways, for example, as 3650093056 + 574177444 = 60416^2 + 23962^2 .

It is a super-2 number, since 2×42242705002 = 35688922514340500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4224270500.

It is not an unprimeable number, because it can be changed into a prime (4224270509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237932 + ... + 255068.

It is an arithmetic number, because the mean of its divisors is an integer number (105270165).

Almost surely, 24224270500 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 4224270500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052967920).

4224270500 is an abundant number, since it is smaller than the sum of its proper divisors (5881665340).

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

4224270500 is a wasteful number, since it uses less digits than its factorization.

4224270500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17202 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 4224270500 is about 64994.3882192917. The cubic root of 4224270500 is about 1616.5305136811.

Adding to 4224270500 its reverse (50724224), we get a palindrome (4274994724).

The spelling of 4224270500 in words is "four billion, two hundred twenty-four million, two hundred seventy thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 125 145 170 250 290 340 425 493 500 580 725 850 986 1450 1700 1972 2125 2465 2900 3625 4250 4930 7250 8500 9860 12325 14500 17137 24650 34274 49300 61625 68548 85685 123250 171370 246500 291329 342740 428425 496973 582658 856850 993946 1165316 1456645 1713700 1987892 2142125 2484865 2913290 4284250 4969730 5826580 7283225 8448541 8568500 9939460 12424325 14566450 16897082 24848650 29132900 33794164 36416125 42242705 49697300 62121625 72832250 84485410 124243250 145664500 168970820 211213525 248486500 422427050 844854100 1056067625 2112135250 4224270500