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5221309000 = 235341347367
BaseRepresentation
bin1001101110011011…
…01101101001001000
3111110212210222102211
410313031231221020
541143123342000
62222034434504
7243250252135
oct46715555110
914425728384
105221309000
11223a324806
121018732a34
1365296706b
1437762d58c
152085be7ba
hex13736da48

5221309000 has 128 divisors (see below), whose sum is σ = 12586129920. Its totient is φ = 2026176000.

The previous prime is 5221308997. The next prime is 5221309109. The reversal of 5221309000 is 9031225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14226817 + ... + 14227183.

It is an arithmetic number, because the mean of its divisors is an integer number (98329140).

Almost surely, 25221309000 is an apocalyptic number.

5221309000 is a gapful number since it is divisible by the number (50) 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 5221309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293064960).

5221309000 is an abundant number, since it is smaller than the sum of its proper divisors (7364820920).

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

5221309000 is a wasteful number, since it uses less digits than its factorization.

5221309000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5221309000 is about 72258.6257826704. The cubic root of 5221309000 is about 1734.8414840769.

The spelling of 5221309000 in words is "five billion, two hundred twenty-one million, three hundred nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 347 367 410 500 694 734 820 1000 1025 1388 1468 1640 1735 1835 2050 2776 2936 3470 3670 4100 5125 6940 7340 8200 8675 9175 10250 13880 14227 14680 15047 17350 18350 20500 28454 30094 34700 36700 41000 43375 45875 56908 60188 69400 71135 73400 75235 86750 91750 113816 120376 127349 142270 150470 173500 183500 254698 284540 300940 347000 355675 367000 376175 509396 569080 601880 636745 711350 752350 1018792 1273490 1422700 1504700 1778375 1880875 2546980 2845400 3009400 3183725 3556750 3761750 5093960 5221309 6367450 7113500 7523500 10442618 12734900 14227000 15047000 15918625 20885236 25469800 26106545 31837250 41770472 52213090 63674500 104426180 127349000 130532725 208852360 261065450 522130900 652663625 1044261800 1305327250 2610654500 5221309000