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4522002320 = 245112569821
BaseRepresentation
bin1000011011000100…
…00100011110010000
3102200010221112000102
410031202010132100
533230113033240
62024414111532
7220026246143
oct41542043620
912603845012
104522002320
111a10609300
12a624ab5a8
13570b0b424
1430c7d605a
151b6ed7815
hex10d884790

4522002320 has 120 divisors (see below), whose sum is σ = 11590742520. Its totient is φ = 1639475200.

The previous prime is 4522002281. The next prime is 4522002361. The reversal of 4522002320 is 232002254.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 4520141824 = 1364^2 + 67232^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4522002292 and 4522002301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5507510 + ... + 5508330.

It is an arithmetic number, because the mean of its divisors is an integer number (96589521).

Almost surely, 24522002320 is an apocalyptic number.

4522002320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4522002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795371260).

4522002320 is an abundant number, since it is smaller than the sum of its proper divisors (7068740200).

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

4522002320 is a wasteful number, since it uses less digits than its factorization.

4522002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4522002320 is about 67245.8349639589. The cubic root of 4522002320 is about 1653.6499939049.

Adding to 4522002320 its reverse (232002254), we get a palindrome (4754004574).

The spelling of 4522002320 in words is "four billion, five hundred twenty-two million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 569 605 821 880 968 1138 1210 1642 1936 2276 2420 2845 3284 4105 4552 4840 5690 6259 6568 8210 9031 9104 9680 11380 12518 13136 16420 18062 22760 25036 31295 32840 36124 45155 45520 50072 62590 65680 68849 72248 90310 99341 100144 125180 137698 144496 180620 198682 250360 275396 344245 361240 397364 467149 496705 500720 550792 688490 722480 794728 934298 993410 1101584 1376980 1589456 1868596 1986820 2335745 2753960 3737192 3973640 4671490 5138639 5507920 7474384 7947280 9342980 10277278 18685960 20554556 25693195 37371920 41109112 51386390 56525029 82218224 102772780 113050058 205545560 226100116 282625145 411091120 452200232 565250290 904400464 1130500580 2261001160 4522002320