Search a number
-
+
202333445020 = 225721371997573
BaseRepresentation
bin1011110001110000000…
…0110101101110011100
3201100020222001222022001
42330130000311232130
511303334330220040
6232541203532044
720422003622500
oct2743400655634
9640228058261
10202333445020
1178899a55a63
123326908a024
13161068a4385
149b15d78300
1553e325059a
hex2f1c035b9c

202333445020 has 144 divisors (see below), whose sum is σ = 500447505600. Its totient is φ = 68510002176.

The previous prime is 202333445003. The next prime is 202333445021. The reversal of 202333445020 is 20544333202.

202333445020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2023334450202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 202333445020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202333445021) 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, 26713954 + ... + 26721526.

It is an arithmetic number, because the mean of its divisors is an integer number (3475329900).

Almost surely, 2202333445020 is an apocalyptic number.

202333445020 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 202333445020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250223752800).

202333445020 is an abundant number, since it is smaller than the sum of its proper divisors (298114060580).

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

202333445020 is a wasteful number, since it uses less digits than its factorization.

202333445020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7932 (or 7923 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 202333445020 its reverse (20544333202), we get a palindrome (222877778222).

The spelling of 202333445020 in words is "two hundred two billion, three hundred thirty-three million, four hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 137 140 196 199 245 274 398 490 548 685 796 959 980 995 1370 1393 1918 1990 2740 2786 3836 3980 4795 5572 6713 6965 7573 9590 9751 13426 13930 15146 19180 19502 26852 27263 27860 30292 33565 37865 39004 48755 53011 54526 67130 75730 97510 106022 109052 134260 136315 151460 190841 195020 212044 265055 272630 371077 381682 530110 545260 742154 763364 954205 1037501 1060220 1335887 1484308 1507027 1855385 1908410 2075002 2671774 3014054 3710770 3816820 4150004 5187505 5343548 6028108 6679435 7262507 7421540 7535135 10375010 10549189 13358870 14525014 15070270 20750020 21098378 26717740 29050028 30140540 36312535 42196756 50837549 52745945 72625070 73844323 101675098 105491890 145250140 147688646 203350196 206462699 210983780 254187745 295377292 369221615 412925398 508375490 738443230 825850796 1016750980 1032313495 1445238893 1476886460 2064626990 2890477786 4129253980 5780955572 7226194465 10116672251 14452388930 20233344502 28904777860 40466689004 50583361255 101166722510 202333445020