Search a number
-
+
2002021222200 = 2335216272050831
BaseRepresentation
bin11101001000100001110…
…000111000011100111000
321002101120022010120120120
4131020201300320130320
5230300114413102300
64131414342453240
7264432644416116
oct35104160703470
97071508116516
102002021222200
11702063872a5a
12284008a34220
13116a3622c23c
146cc810b0ab6
15371256833a0
hex1d221c38738

2002021222200 has 96 divisors (see below), whose sum is σ = 6210083362560. Its totient is φ = 533543932800.

The previous prime is 2002021222193. The next prime is 2002021222237. The reversal of 2002021222200 is 22221202002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002021222200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49216 + ... + 2001615.

It is an arithmetic number, because the mean of its divisors is an integer number (64688368360).

Almost surely, 22002021222200 is an apocalyptic number.

2002021222200 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 2002021222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105041681280).

2002021222200 is an abundant number, since it is smaller than the sum of its proper divisors (4208062140360).

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

2002021222200 is a wasteful number, since it uses less digits than its factorization.

2002021222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052477 (or 2052468 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2002021222200 its reverse (22221202002), we get a palindrome (2024242424202).

The spelling of 2002021222200 in words is "two trillion, two billion, twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1627 3254 4881 6508 8135 9762 13016 16270 19524 24405 32540 39048 40675 48810 65080 81350 97620 122025 162700 195240 244050 325400 488100 976200 2050831 4101662 6152493 8203324 10254155 12304986 16406648 20508310 24609972 30762465 41016620 49219944 51270775 61524930 82033240 102541550 123049860 153812325 205083100 246099720 307624650 410166200 615249300 1230498600 3336702037 6673404074 10010106111 13346808148 16683510185 20020212222 26693616296 33367020370 40040424444 50050530555 66734040740 80080848888 83417550925 100101061110 133468081480 166835101850 200202122220 250252652775 333670203700 400404244440 500505305550 667340407400 1001010611100 2002021222200