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20222002000 = 245310111001
BaseRepresentation
bin10010110101010100…
…110100001101010000
31221012022021010202001
4102311110310031100
5312403313031000
613142335403344
71314056116024
oct226524641520
957168233661
1020222002000
11863787a452
123b04383554
131ba3696675
14d9b994384
157d54be46a
hex4b5534350

20222002000 has 40 divisors (see below), whose sum is σ = 48896805672. Its totient is φ = 8088800000.

The previous prime is 20222001991. The next prime is 20222002007. The reversal of 20222002000 is 20022202.

It can be written as a sum of positive squares in 4 ways, for example, as 345513744 + 19876488256 = 18588^2 + 140984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (20222002007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5053501 + ... + 5057500.

Almost surely, 220222002000 is an apocalyptic number.

20222002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222002000 is an abundant number, since it is smaller than the sum of its proper divisors (28674803672).

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

20222002000 is a wasteful number, since it uses less digits than its factorization.

20222002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111024 (or 10111008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 20222002000 its reverse (20022202), we get a palindrome (20242024202).

The spelling of 20222002000 in words is "twenty billion, two hundred twenty-two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10111001 20222002 40444004 50555005 80888008 101110010 161776016 202220020 252775025 404440040 505550050 808880080 1011100100 1263875125 2022200200 2527750250 4044400400 5055500500 10111001000 20222002000