Search a number
-
+
2002020022200 = 2335211303336367
BaseRepresentation
bin11101001000100001101…
…100010011011110111000
321002101120012212121111010
4131020201230103132320
5230300114111202300
64131414301033520
7264432631260432
oct35104154233670
97071505777433
102002020022200
11702063123420
122840085558a0
13116a35bcbc93
146cc80c7b652
15371254e7a50
hex1d221b137b8

2002020022200 has 96 divisors (see below), whose sum is σ = 6770467733760. Its totient is φ = 485338185600.

The previous prime is 2002020022127. The next prime is 2002020022201. The reversal of 2002020022200 is 22200202002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020022201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151661584 + ... + 151674783.

It is an arithmetic number, because the mean of its divisors is an integer number (70525705560).

Almost surely, 22002020022200 is an apocalyptic number.

2002020022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020022200 is an abundant number, since it is smaller than the sum of its proper divisors (4768447711560).

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

2002020022200 is a wasteful number, since it uses less digits than its factorization.

2002020022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303336397 (or 303336388 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2002020022200 its reverse (22200202002), we get a palindrome (2024220224202).

The spelling of 2002020022200 in words is "two trillion, two billion, twenty million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 303336367 606672734 910009101 1213345468 1516681835 1820018202 2426690936 3033363670 3336700037 3640036404 4550045505 6066727340 6673400074 7280072808 7583409175 9100091010 10010100111 12133454680 13346800148 15166818350 16683500185 18200182020 20020200222 22750227525 26693600296 30333636700 33367000370 36400364040 40040400444 45500455050 50050500555 60667273400 66734000740 80080800888 83417500925 91000910100 100101001110 133468001480 166835001850 182001820200 200202002220 250252502775 333670003700 400404004440 500505005550 667340007400 1001010011100 2002020022200