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15230205210 = 235112910315451
BaseRepresentation
bin11100010111100101…
…00111110100011010
31110022102022120212110
432023302213310122
5222142413031320
610555140053150
71046263415433
oct161362476432
943272276773
1015230205210
116506065660
122b506941b6
13158944a85c
14a46a2a48a
155e21385e0
hex38bca7d1a

15230205210 has 128 divisors (see below), whose sum is σ = 41653647360. Its totient is φ = 3530016000.

The previous prime is 15230205173. The next prime is 15230205241. The reversal of 15230205210 is 1250203251.

It is a super-2 number, since 2×152302052102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 977985 + ... + 993435.

It is an arithmetic number, because the mean of its divisors is an integer number (325419120).

Almost surely, 215230205210 is an apocalyptic number.

15230205210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15230205210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20826823680).

15230205210 is an abundant number, since it is smaller than the sum of its proper divisors (26423442150).

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

15230205210 is a wasteful number, since it uses less digits than its factorization.

15230205210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604.

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 15230205210 its reverse (1250203251), we get a palindrome (16480408461).

The spelling of 15230205210 in words is "fifteen billion, two hundred thirty million, two hundred five thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 103 110 145 165 174 206 290 309 319 330 435 515 618 638 870 957 1030 1133 1545 1595 1914 2266 2987 3090 3190 3399 4785 5665 5974 6798 8961 9570 11330 14935 15451 16995 17922 29870 30902 32857 33990 44805 46353 65714 77255 89610 92706 98571 154510 164285 169961 197142 231765 328570 339922 448079 463530 492855 509883 849805 896158 985710 1019766 1344237 1591453 1699610 2240395 2549415 2688474 3182906 4480790 4774359 4928869 5098830 6721185 7957265 9548718 9857738 13442370 14786607 15914530 17505983 23871795 24644345 29573214 35011966 46152137 47743590 49288690 52517949 73933035 87529915 92304274 105035898 138456411 147866070 175059830 230760685 262589745 276912822 461521370 507673507 525179490 692282055 1015347014 1384564110 1523020521 2538367535 3046041042 5076735070 7615102605 15230205210