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20221212200 = 2352722063389
BaseRepresentation
bin10010110101010001…
…110011011000101000
31221012020210000100012
4102311101303120220
5312403112242300
613142310431052
71314046316300
oct226521633050
957166700305
1020221212200
118637390022
123b04062488
131ba347b027
14d9b82a600
157d53b5435
hex4b5473628

20221212200 has 72 divisors (see below), whose sum is σ = 54690151950. Its totient is φ = 6932983680.

The previous prime is 20221212199. The next prime is 20221212227. The reversal of 20221212200 is 221212202.

It can be written as a sum of positive squares in 3 ways, for example, as 13675431364 + 6545780836 = 116942^2 + 80906^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1021895 + ... + 1041494.

Almost surely, 220221212200 is an apocalyptic number.

20221212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221212200 is an abundant number, since it is smaller than the sum of its proper divisors (34468939750).

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

20221212200 is a wasteful number, since it uses less digits than its factorization.

20221212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063419 (or 2063403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20221212200 its reverse (221212202), we get a palindrome (20442424402).

It can be divided in two parts, 202212 and 12200, that added together give a palindrome (214412).

The spelling of 20221212200 in words is "twenty billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 2063389 4126778 8253556 10316945 14443723 16507112 20633890 28887446 41267780 51584725 57774892 72218615 82535560 101106061 103169450 115549784 144437230 202212122 206338900 288874460 361093075 404424244 412677800 505530305 577748920 722186150 808848488 1011060610 1444372300 2022121220 2527651525 2888744600 4044242440 5055303050 10110606100 20221212200