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2212200022122 = 2321712295882353
BaseRepresentation
bin100000001100010001011…
…001011000000001101010
321211111002000121212120200
4200030101121120001222
5242221041201201442
64412134243533030
7315553243634466
oct40142131300152
97744060555520
102212200022122
117832092711a2
122b88a538a176
131307c02ac43c
14790dcd794a6
153c82753334c
hex2031165806a

2212200022122 has 48 divisors (see below), whose sum is σ = 5079177384840. Its totient is φ = 693458712576.

The previous prime is 2212200022117. The next prime is 2212200022177.

2212200022122 is a `hidden beast` number, since 221 + 2 + 200 + 0 + 221 + 22 = 666.

2212200022122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2088773577081 + 123426445041 = 1445259^2 + 351321^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2212200022095 and 2212200022104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2565103 + ... + 3317250.

Almost surely, 22212200022122 is an apocalyptic number.

2212200022122 is an abundant number, since it is smaller than the sum of its proper divisors (2866977362718).

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

2212200022122 is a wasteful number, since it uses less digits than its factorization.

2212200022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883607 (or 5883604 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 22122000 and 22122, that added together give a palindrome (22144122).

The spelling of 2212200022122 in words is "two trillion, two hundred twelve billion, two hundred million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1229 2458 3687 7374 11061 20893 22122 41786 62679 125358 188037 376074 5882353 11764706 17647059 35294118 52941177 100000001 105882354 200000002 300000003 600000006 900000009 1800000018 7229411837 14458823674 21688235511 43376471022 65064706533 122900001229 130129413066 245800002458 368700003687 737400007374 1106100011061 2212200022122