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2242022142004 = 2217281117334213
BaseRepresentation
bin100000101000000010111…
…011101111000000110100
321221100001101012112022021
4200220002323233000310
5243213130132021004
64433545403242524
7320660253524431
oct40500273570064
97840041175267
102242022142004
11794922060267
12302628819444
13133563863518
147a72b91cb88
153d4c0721d54
hex20a02eef034

2242022142004 has 24 divisors (see below), whose sum is σ = 4169119291848. Its totient is φ = 1051314539520.

The previous prime is 2242022142001. The next prime is 2242022142067. The reversal of 2242022142004 is 4002412202422.

It can be written as a sum of positive squares in 4 ways, for example, as 252506250000 + 1989515892004 = 502500^2 + 1410502^2 .

It is a super-2 number, since 2×22420221420042 (a number of 26 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 2242022142004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242022142001) 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 7 ways as a sum of consecutive naturals, for example, 58647999 + ... + 58686214.

It is an arithmetic number, because the mean of its divisors is an integer number (173713303827).

Almost surely, 22242022142004 is an apocalyptic number.

It is an amenable number.

2242022142004 is a deficient number, since it is larger than the sum of its proper divisors (1927097149844).

2242022142004 is a wasteful number, since it uses less digits than its factorization.

2242022142004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117334515 (or 117334513 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2242022142004 its reverse (4002412202422), we get a palindrome (6244434344426).

The spelling of 2242022142004 in words is "two trillion, two hundred forty-two billion, twenty-two million, one hundred forty-two thousand, four".

Divisors: 1 2 4 17 34 68 281 562 1124 4777 9554 19108 117334213 234668426 469336852 1994681621 3989363242 7978726484 32970913853 65941827706 131883655412 560505535501 1121011071002 2242022142004