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20333223300 = 223521352110007
BaseRepresentation
bin10010111011111101…
…000101110110000100
31221111001112202200110
4102323331011312010
5313120301121200
613201351313020
71316606355255
oct227375056604
957431482613
1020333223300
118694635685
123b3567b770
131bc07388a0
14dac666b2c
157e013db50
hex4bbf45d84

20333223300 has 144 divisors (see below), whose sum is σ = 63484186752. Its totient is φ = 4994995200.

The previous prime is 20333223283. The next prime is 20333223307. The reversal of 20333223300 is 332233302.

It is not an unprimeable number, because it can be changed into a prime (20333223307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2026897 + ... + 2036903.

It is an arithmetic number, because the mean of its divisors is an integer number (440862408).

Almost surely, 220333223300 is an apocalyptic number.

20333223300 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 20333223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31742093376).

20333223300 is an abundant number, since it is smaller than the sum of its proper divisors (43150963452).

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

20333223300 is a wasteful number, since it uses less digits than its factorization.

20333223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 20333223300 its reverse (332233302), we get a palindrome (20665456602).

The spelling of 20333223300 in words is "twenty billion, three hundred thirty-three million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 521 650 780 975 1042 1300 1563 1950 2084 2605 3126 3900 5210 6252 6773 7815 10007 10420 13025 13546 15630 20014 20319 26050 27092 30021 31260 33865 39075 40028 40638 50035 52100 60042 67730 78150 81276 100070 101595 120084 130091 135460 150105 156300 169325 200140 203190 250175 260182 300210 338650 390273 406380 500350 507975 520364 600420 650455 677300 750525 780546 1000700 1015950 1300910 1501050 1561092 1951365 2031900 2601820 3002100 3252275 3902730 5213647 6504550 7805460 9756825 10427294 13009100 15640941 19513650 20854588 26068235 31281882 39027300 52136470 62563764 67777411 78204705 104272940 130341175 135554822 156409410 203332233 260682350 271109644 312818820 338887055 391023525 406664466 521364700 677774110 782047050 813328932 1016661165 1355548220 1564094100 1694435275 2033322330 3388870550 4066644660 5083305825 6777741100 10166611650 20333223300