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20222202000020 = 2251597633130933
BaseRepresentation
bin1001001100100010110010…
…01010101011001010010100
32122121020001000201122120012
410212101121022223022110
510122310032203000040
6111001541254055352
74155002005611626
oct446213112531224
978536030648505
1020222202000020
116497207923489
12232724664a558
13b38c3a25c617
144dca8cc62c16
1525105c53a865
hex1264592ab294

20222202000020 has 24 divisors (see below), whose sum is σ = 42493215766344. Its totient is φ = 8083815739776.

The previous prime is 20222201999983. The next prime is 20222202000041. The reversal of 20222202000020 is 2000020222202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 957020019076 + 19265181980944 = 978274^2 + 4389212^2 .

It is a super-2 number, since 2×202222020000202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20222201999959 and 20222202000004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 316533527 + ... + 316597406.

It is an arithmetic number, because the mean of its divisors is an integer number (1770550656931).

Almost surely, 220222202000020 is an apocalyptic number.

20222202000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222202000020 is an abundant number, since it is smaller than the sum of its proper divisors (22271013766324).

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

20222202000020 is a wasteful number, since it uses less digits than its factorization.

20222202000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633132539 (or 633132537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20222202000020 its reverse (2000020222202), we get a palindrome (22222222222222).

The spelling of 20222202000020 in words is "twenty trillion, two hundred twenty-two billion, two hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 1597 3194 6388 7985 15970 31940 633130933 1266261866 2532523732 3165654665 6331309330 12662618660 1011110100001 2022220200002 4044440400004 5055550500005 10111101000010 20222202000020