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20221232211200 = 28523159567533
BaseRepresentation
bin1001001100100000111110…
…10111001110010100000000
32122121010112102220021101202
410212100133113032110000
510122301040421224300
6111001301132120332
74154635661546156
oct446203727162400
978533472807352
1020221232211200
11649685a464819
1223270159060a8
13b38b1436c597
144dc9da13b3d6
15251002325ad5
hex12641f5ce500

20221232211200 has 54 divisors (see below), whose sum is σ = 50050709306094. Its totient is φ = 8088492881920.

The previous prime is 20221232211161. The next prime is 20221232211211. The reversal of 20221232211200 is 211223212202.

It can be written as a sum of positive squares in 3 ways, for example, as 2951688930304 + 17269543280896 = 1718048^2 + 4155664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 1579777367 + ... + 1579790166.

Almost surely, 220221232211200 is an apocalyptic number.

20221232211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221232211200 is an abundant number, since it is smaller than the sum of its proper divisors (29829477094894).

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

20221232211200 is an equidigital number, since it uses as much as digits as its factorization.

20221232211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159567559 (or 3159567540 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20221232211200 its reverse (211223212202), we get a palindrome (20432455423402).

The spelling of 20221232211200 in words is "twenty trillion, two hundred twenty-one billion, two hundred thirty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 3159567533 6319135066 12638270132 15797837665 25276540264 31595675330 50553080528 63191350660 78989188325 101106161056 126382701320 157978376650 202212322112 252765402640 315956753300 404424644224 505530805280 631913506600 808849288448 1011061610560 1263827013200 2022123221120 2527654026400 4044246442240 5055308052800 10110616105600 20221232211200