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22322142244144 = 2417712711514901
BaseRepresentation
bin1010001001101010001110…
…10110111110110100110000
32221000222100110202221010101
411010311013112332310300
510411211221403303034
6115250352305242144
74462502331306061
oct504650726766460
987028313687111
1022322142244144
1171268493a5946
122606220333354
13c5bc79b10602
1457257c85a568
1528a9b439c514
hex144d475bed30

22322142244144 has 40 divisors (see below), whose sum is σ = 45799647572448. Its totient is φ = 10503062707200.

The previous prime is 22322142244141. The next prime is 22322142244147. The reversal of 22322142244144 is 44144224122322.

It is an interprime number because it is at equal distance from previous prime (22322142244141) and next prime (22322142244147).

It is a super-3 number, since 3×223221422441443 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22322142244141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3818907 + ... + 7695994.

Almost surely, 222322142244144 is an apocalyptic number.

It is an amenable number.

22322142244144 is an abundant number, since it is smaller than the sum of its proper divisors (23477505328304).

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

22322142244144 is a wasteful number, since it uses less digits than its factorization.

22322142244144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11522053 (or 11522047 counting only the distinct ones).

The product of its digits is 196608, while the sum is 37.

Adding to 22322142244144 its reverse (44144224122322), we get a palindrome (66466366366466).

The spelling of 22322142244144 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred forty-two million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 7127 14254 28508 57016 114032 121159 242318 484636 969272 1938544 11514901 23029802 46059604 92119208 184238416 195753317 391506634 783013268 1566026536 3132053072 82066699427 164133398854 328266797708 656533595416 1313067190832 1395133890259 2790267780518 5580535561036 11161071122072 22322142244144