Search a number
-
+
4470225840 = 243352069549
BaseRepresentation
bin1000010100111001…
…00011101110110000
3102112112112000001000
410022130203232300
533123334211330
62015324242000
7215530202253
oct41234435660
912475460030
104470225840
111994364923
12a490a0300
13563180562
1430599909a
151b26ab560
hex10a723bb0

4470225840 has 80 divisors (see below), whose sum is σ = 15397452000. Its totient is φ = 1192059648.

The previous prime is 4470225839. The next prime is 4470225847. The reversal of 4470225840 is 485220744.

4470225840 is a `hidden beast` number, since 4 + 4 + 70 + 2 + 2 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4470225795 and 4470225804.

It is not an unprimeable number, because it can be changed into a prime (4470225847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032615 + ... + 1036934.

It is an arithmetic number, because the mean of its divisors is an integer number (192468150).

Almost surely, 24470225840 is an apocalyptic number.

4470225840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4470225840 is an abundant number, since it is smaller than the sum of its proper divisors (10927226160).

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

4470225840 is a wasteful number, since it uses less digits than its factorization.

4470225840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069571 (or 2069559 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4470225840 is about 66859.7475316801. The cubic root of 4470225840 is about 1647.3143749114.

The spelling of 4470225840 in words is "four billion, four hundred seventy million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2069549 4139098 6208647 8278196 10347745 12417294 16556392 18625941 20695490 24834588 31043235 33112784 37251882 41390980 49669176 55877823 62086470 74503764 82781960 93129705 99338352 111755646 124172940 149007528 165563920 186259410 223511292 248345880 279389115 298015056 372518820 447022584 496691760 558778230 745037640 894045168 1117556460 1490075280 2235112920 4470225840