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20122202000 = 245322034567
BaseRepresentation
bin10010101111011000…
…000110111110010000
31220221100110202212202
4102233120012332100
5312202240431000
613124412342332
71311434615645
oct225730067620
956840422782
1020122202000
11859650520a
123a96a749a8
131b88ac2c04
14d8c615dcc
157cb858dd5
hex4af606f90

20122202000 has 80 divisors (see below), whose sum is σ = 48688228992. Its totient is φ = 8043465600.

The previous prime is 20122201987. The next prime is 20122202003. The reversal of 20122202000 is 20222102.

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

It is not an unprimeable number, because it can be changed into a prime (20122202003) 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 15 ways as a sum of consecutive naturals, for example, 4403717 + ... + 4408283.

Almost surely, 220122202000 is an apocalyptic number.

20122202000 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 20122202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24344114496).

20122202000 is an abundant number, since it is smaller than the sum of its proper divisors (28566026992).

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

20122202000 is a wasteful number, since it uses less digits than its factorization.

20122202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20122202000 its reverse (20222102), we get a palindrome (20142424102).

The spelling of 20122202000 in words is "twenty billion, one hundred twenty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2203 4406 4567 8812 9134 11015 17624 18268 22030 22835 35248 36536 44060 45670 55075 73072 88120 91340 110150 114175 176240 182680 220300 228350 275375 365360 440600 456700 550750 570875 881200 913400 1101500 1141750 1826800 2203000 2283500 4406000 4567000 9134000 10061101 20122202 40244404 50305505 80488808 100611010 160977616 201222020 251527525 402444040 503055050 804888080 1006110100 1257637625 2012220200 2515275250 4024440400 5030550500 10061101000 20122202000