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20233300332340 = 22529167269776551
BaseRepresentation
bin1001001100110111011101…
…01011011100111100110100
32122122021200111012100101101
410212123232223130330310
510123000244341113330
6111011014433535444
74155544021102624
oct446335653347464
978567614170341
1020233300332340
1164a0992613857
122329423414584
13b39cb8665674
144dd422c0c884
152514aba504ca
hex1266eeadcf34

20233300332340 has 96 divisors (see below), whose sum is σ = 44382742387200. Its totient is φ = 7738563033600.

The previous prime is 20233300332307. The next prime is 20233300332389. The reversal of 20233300332340 is 4323300333202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20233300332299 and 20233300332308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25667065 + ... + 26443615.

It is an arithmetic number, because the mean of its divisors is an integer number (462320233200).

Almost surely, 220233300332340 is an apocalyptic number.

20233300332340 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 20233300332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22191371193600).

20233300332340 is an abundant number, since it is smaller than the sum of its proper divisors (24149442054860).

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

20233300332340 is a wasteful number, since it uses less digits than its factorization.

20233300332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777025 (or 777023 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 28.

Adding to 20233300332340 its reverse (4323300333202), we get a palindrome (24556600665542).

The spelling of 20233300332340 in words is "twenty trillion, two hundred thirty-three billion, three hundred million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 167 269 290 334 538 580 668 835 1076 1345 1670 2690 3340 4843 5380 7801 9686 15602 19372 24215 31204 39005 44923 48430 78010 89846 96860 156020 179692 224615 449230 776551 898460 1302767 1553102 2605534 3106204 3882755 5211068 6513835 7765510 13027670 15531020 22519979 26055340 45039958 90079916 112599895 129684017 208892219 225199790 259368034 417784438 450399580 518736068 648420085 835568876 1044461095 1296840170 2088922190 2593680340 3760836493 4177844380 6057874351 7521672986 12115748702 15043345972 18804182465 24231497404 30289371755 34885000573 37608364930 60578743510 69770001146 75216729860 121157487020 139540002292 174425002865 348850005730 697700011460 1011665016617 2023330033234 4046660066468 5058325083085 10116650166170 20233300332340