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2000022112 = 251145712433
BaseRepresentation
bin111011100110101…
…1110101001100000
312011101101122120001
41313031132221200
513044001201422
6530243225344
7100363623154
oct16715365140
95141348501
102000022112
11936a62240
12479978254
1325b48444a
1414d8a3064
15ba8b9227
hex7735ea60

2000022112 has 48 divisors (see below), whose sum is σ = 4305247632. Its totient is φ = 907038720.

The previous prime is 2000022097. The next prime is 2000022119. The reversal of 2000022112 is 2112200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000022119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154648 + ... + 167080.

It is an arithmetic number, because the mean of its divisors is an integer number (89692659).

Almost surely, 22000022112 is an apocalyptic number.

2000022112 is a gapful number since it is divisible by the number (22) 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 2000022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152623816).

2000022112 is an abundant number, since it is smaller than the sum of its proper divisors (2305225520).

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

2000022112 is a wasteful number, since it uses less digits than its factorization.

2000022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12911 (or 12903 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2000022112 is about 44721.6067689881. The cubic root of 2000022112 is about 1259.9256931068.

Adding to 2000022112 its reverse (2112200002), we get a palindrome (4112222114).

It can be divided in two parts, 200002 and 2112, that multiplied together give a palindrome (422404224).

The spelling of 2000022112 in words is "two billion, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 457 914 1828 3656 5027 7312 10054 12433 14624 20108 24866 40216 49732 80432 99464 136763 160864 198928 273526 397856 547052 1094104 2188208 4376416 5681881 11363762 22727524 45455048 62500691 90910096 125001382 181820192 250002764 500005528 1000011056 2000022112