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20122212200 = 2352192278701
BaseRepresentation
bin10010101111011000…
…001001011101101000
31220221100111021212112
4102233120021131220
5312202241242300
613124412501452
71311434660456
oct225730113550
956840437775
1020122212200
118596511942
123a96a7a888
131b88ac774c
14d8c6199d6
157cb85be35
hex4af609768

20122212200 has 72 divisors (see below), whose sum is σ = 49376239830. Its totient is φ = 7625232000.

The previous prime is 20122212151. The next prime is 20122212203. The reversal of 20122212200 is 221222102.

It can be written as a sum of positive squares in 3 ways, for example, as 19100898436 + 1021313764 = 138206^2 + 31958^2 .

It is not an unprimeable number, because it can be changed into a prime (20122212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67151 + ... + 211550.

Almost surely, 220122212200 is an apocalyptic number.

20122212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122212200 is an abundant number, since it is smaller than the sum of its proper divisors (29254027630).

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

20122212200 is a wasteful number, since it uses less digits than its factorization.

20122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278755 (or 278727 counting only the distinct ones).

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

Adding to 20122212200 its reverse (221222102), we get a palindrome (20343434302).

The spelling of 20122212200 in words is "twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 475 722 760 950 1444 1805 1900 2888 3610 3800 7220 9025 14440 18050 36100 72200 278701 557402 1114804 1393505 2229608 2787010 5295319 5574020 6967525 10590638 11148040 13935050 21181276 26476595 27870100 42362552 52953190 55740200 100611061 105906380 132382975 201222122 211812760 264765950 402444244 503055305 529531900 804888488 1006110610 1059063800 2012221220 2515276525 4024442440 5030553050 10061106100 20122212200