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20330333200 = 2452314433701
BaseRepresentation
bin10010111011110010…
…000100010000010000
31221110212002221012201
4102323302010100100
5313114031130300
613201205332544
71316542660312
oct227362042020
957425087181
1020330333200
118692a41271
123b34707154
131bbcc66278
14dac1137b2
157dec6c66a
hex4bbc84410

20330333200 has 120 divisors (see below), whose sum is σ = 50546693376. Its totient is φ = 7849920000.

The previous prime is 20330333197. The next prime is 20330333239. The reversal of 20330333200 is 233303302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5491350 + ... + 5495050.

Almost surely, 220330333200 is an apocalyptic number.

20330333200 is a gapful number since it is divisible by the number (20) 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 20330333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25273346688).

20330333200 is an abundant number, since it is smaller than the sum of its proper divisors (30216360176).

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

20330333200 is a wasteful number, since it uses less digits than its factorization.

20330333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 19.

Adding to 20330333200 its reverse (233303302), we get a palindrome (20563636502).

The spelling of 20330333200 in words is "twenty billion, three hundred thirty million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 443 496 620 775 886 1240 1550 1772 2215 2480 3100 3544 3701 4430 6200 7088 7402 8860 11075 12400 13733 14804 17720 18505 22150 27466 29608 35440 37010 44300 54932 59216 68665 74020 88600 92525 109864 114731 137330 148040 177200 185050 219728 229462 274660 296080 343325 370100 458924 549320 573655 686650 740200 917848 1098640 1147310 1373300 1480400 1639543 1835696 2294620 2746600 2868275 3279086 4589240 5493200 5736550 6558172 8197715 9178480 11473100 13116344 16395430 22946200 26232688 32790860 40988575 45892400 50825833 65581720 81977150 101651666 131163440 163954300 203303332 254129165 327908600 406606664 508258330 655817200 813213328 1016516660 1270645825 2033033320 2541291650 4066066640 5082583300 10165166600 20330333200