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2112022000 = 24531196001
BaseRepresentation
bin111110111100010…
…1110010111110000
312110012010211112001
41331320232113300
513311134201000
6545323543344
7103223614354
oct17570562760
95405124461
102112022000
119941aa430
124ab38ab54
13278739b7a
141606d9464
15c563e46a
hex7de2e5f0

2112022000 has 80 divisors (see below), whose sum is σ = 5571188064. Its totient is φ = 768000000.

The previous prime is 2112021949. The next prime is 2112022001. The reversal of 2112022000 is 2202112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112022001) 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 15 ways as a sum of consecutive naturals, for example, 26001 + ... + 70000.

Almost surely, 22112022000 is an apocalyptic number.

2112022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112022000 is an abundant number, since it is smaller than the sum of its proper divisors (3459166064).

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

2112022000 is a wasteful number, since it uses less digits than its factorization.

2112022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96035 (or 96019 counting only the distinct ones).

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

The square root of 2112022000 is about 45956.7405284578. The cubic root of 2112022000 is about 1283.0181868917.

Adding to 2112022000 its reverse (2202112), we get a palindrome (2114224112).

It can be divided in two parts, 21 and 12022000, that added together give a palindrome (12022021).

The spelling of 2112022000 in words is "two billion, one hundred twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 96001 192002 384004 480005 768008 960010 1056011 1536016 1920020 2112022 2400025 3840040 4224044 4800050 5280055 7680080 8448088 9600100 10560110 12000125 16896176 19200200 21120220 24000250 26400275 38400400 42240440 48000500 52800550 84480880 96001000 105601100 132001375 192002000 211202200 264002750 422404400 528005500 1056011000 2112022000