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2022442442202 = 2371337100111001
BaseRepresentation
bin11101011011100010111…
…101101001110111011010
321011100021111021001001010
4131123202331221313122
5231113430231122302
64145033000234350
7266055003054510
oct35334275516732
97140244231033
102022442442202
1170a793040886
12287b67a6b9b6
1311893bc67c80
146dc5b2c24b0
153791d3a516c
hex1d6e2f69dda

2022442442202 has 64 divisors (see below), whose sum is σ = 5112869094144. Its totient is φ = 518975424000.

The previous prime is 2022442442191. The next prime is 2022442442203.

2022442442202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20224424422022 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2022442442202.

It is not an unprimeable number, because it can be changed into a prime (2022442442203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50035299 + ... + 50075702.

It is an arithmetic number, because the mean of its divisors is an integer number (79888579596).

Almost surely, 22022442442202 is an apocalyptic number.

2022442442202 is an abundant number, since it is smaller than the sum of its proper divisors (3090426651942).

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

2022442442202 is a wasteful number, since it uses less digits than its factorization.

2022442442202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111063.

The product of its (nonzero) digits is 32768, while the sum is 30.

The spelling of 2022442442202 in words is "two trillion, twenty-two billion, four hundred forty-two million, four hundred forty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 20202 100111001 200222002 300333003 600666006 700777007 1301443013 1401554014 2102331021 2602886026 3704107037 3904329039 4204662042 7408214074 7808658078 9110101091 11112321111 18220202182 22224642222 25928749259 27330303273 48153391481 51857498518 54660606546 77786247777 96306782962 144460174443 155572495554 288920348886 337073740367 674147480734 1011221221101 2022442442202