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20022202202000 = 245394971054133
BaseRepresentation
bin1001000110101110010000…
…01111111111011110010000
32121220002210200211020010112
410203113020033333132100
510111020432230431000
6110330023412220452
74134361556435525
oct443271017773620
977802720736115
1020022202202000
11641a406190009
1222b452b00a728
13b23115cb137b
144d3118bd514c
1524ac54106235
hex1235c83ff790

20022202202000 has 80 divisors (see below), whose sum is σ = 48418828643952. Its totient is φ = 8008029977600.

The previous prime is 20022202201913. The next prime is 20022202202021. The reversal of 20022202202000 is 20220222002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11849098831504 + 8173103370496 = 3442252^2 + 2858864^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18466934 + ... + 19521066.

Almost surely, 220022202202000 is an apocalyptic number.

20022202202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022202202000 is an abundant number, since it is smaller than the sum of its proper divisors (28396626441952).

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

20022202202000 is a wasteful number, since it uses less digits than its factorization.

20022202202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063653 (or 1063637 counting only the distinct ones).

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

Adding to 20022202202000 its reverse (20220222002), we get a palindrome (20042422424002).

The spelling of 20022202202000 in words is "twenty trillion, twenty-two billion, two hundred 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 9497 18994 37988 47485 75976 94970 151952 189940 237425 379880 474850 759760 949700 1054133 1187125 1899400 2108266 2374250 3798800 4216532 4748500 5270665 8433064 9497000 10541330 16866128 18994000 21082660 26353325 42165320 52706650 84330640 105413300 131766625 210826600 263533250 421653200 527066500 1054133000 2108266000 10011101101 20022202202 40044404404 50055505505 80088808808 100111011010 160177617616 200222022020 250277527525 400444044040 500555055050 800888088080 1001110110100 1251387637625 2002220220200 2502775275250 4004440440400 5005550550500 10011101101000 20022202202000