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20122210200 = 23352127264071
BaseRepresentation
bin10010101111011000…
…001000111110011000
31220221100111012010110
4102233120020332120
5312202241211300
613124412444320
71311434651601
oct225730107630
956840435113
1020122210200
118596510394
123a96a796a0
131b88ac6871
14d8c618da8
157cb85b550
hex4af608f98

20122210200 has 96 divisors (see below), whose sum is σ = 62870261760. Its totient is φ = 5323651200.

The previous prime is 20122210183. The next prime is 20122210201. The reversal of 20122210200 is 201222102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122210201) 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 23 ways as a sum of consecutive naturals, for example, 55836 + ... + 208235.

It is an arithmetic number, because the mean of its divisors is an integer number (654898560).

Almost surely, 220122210200 is an apocalyptic number.

20122210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122210200 is an abundant number, since it is smaller than the sum of its proper divisors (42748051560).

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

20122210200 is a wasteful number, since it uses less digits than its factorization.

20122210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264217 (or 264208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20122210200 its reverse (201222102), we get a palindrome (20323432302).

20122210200 divided by its reverse (201222102) gives a square (100 = 102).

The spelling of 20122210200 in words is "twenty billion, one hundred twenty-two million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1270 1524 1905 2540 3048 3175 3810 5080 6350 7620 9525 12700 15240 19050 25400 38100 76200 264071 528142 792213 1056284 1320355 1584426 2112568 2640710 3168852 3961065 5281420 6337704 6601775 7922130 10562840 13203550 15844260 19805325 26407100 31688520 33537017 39610650 52814200 67074034 79221300 100611051 134148068 158442600 167685085 201222102 268296136 335370170 402444204 503055255 670740340 804888408 838425425 1006110510 1341480680 1676850850 2012221020 2515276275 3353701700 4024442040 5030552550 6707403400 10061105100 20122210200