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20226242224200 = 2335233710403707
BaseRepresentation
bin1001001100101010010011…
…11110111010000001001000
32122121121110121010022012210
410212111021332322001020
510122341321002133300
6111003450222105120
74155204065136105
oct446251176720110
978547417108183
1020226242224200
1164989a0490731
122327b9371b1a0
13b394322c590c
144dcd53687aac
152511e70a9050
hex126549fba048

20226242224200 has 48 divisors (see below), whose sum is σ = 62701350896880. Its totient is φ = 5393664592960.

The previous prime is 20226242224183. The next prime is 20226242224207. The reversal of 20226242224200 is 242224262202.

It is a happy number.

It is a super-3 number, since 3×202262422242003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20226242224207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16855201254 + ... + 16855202453.

It is an arithmetic number, because the mean of its divisors is an integer number (1306278143685).

Almost surely, 220226242224200 is an apocalyptic number.

20226242224200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20226242224200 is an abundant number, since it is smaller than the sum of its proper divisors (42475108672680).

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

20226242224200 is a wasteful number, since it uses less digits than its factorization.

20226242224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33710403726 (or 33710403717 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20226242224200 its reverse (242224262202), we get a palindrome (20468466486402).

The spelling of 20226242224200 in words is "twenty trillion, two hundred twenty-six billion, two hundred forty-two million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 33710403707 67420807414 101131211121 134841614828 168552018535 202262422242 269683229656 337104037070 404524844484 505656055605 674208074140 809049688968 842760092675 1011312111210 1348416148280 1685520185350 2022624222420 2528280278025 3371040370700 4045248444840 5056560556050 6742080741400 10113121112100 20226242224200