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2022131142024 = 233746725774079
BaseRepresentation
bin11101011011010000011…
…010001000110110001000
321011022110210111100110220
4131123100122020312020
5231112311033021044
64144542040110040
7266044203052020
oct35332032106610
97138423440426
102022131142024
1170a643349404
12287a9b765320
131188bc611896
146dc2bc0aa80
1537900db3019
hex1d6d0688d88

2022131142024 has 64 divisors (see below), whose sum is σ = 5789889331200. Its totient is φ = 576514576704.

The previous prime is 2022131142013. The next prime is 2022131142029. The reversal of 2022131142024 is 4202411312202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2022131141985 and 2022131142003.

It is not an unprimeable number, because it can be changed into a prime (2022131142029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12808584 + ... + 12965495.

It is an arithmetic number, because the mean of its divisors is an integer number (90467020800).

Almost surely, 22022131142024 is an apocalyptic number.

2022131142024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2022131142024 is an abundant number, since it is smaller than the sum of its proper divisors (3767758189176).

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

2022131142024 is a wasteful number, since it uses less digits than its factorization.

2022131142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25774562 (or 25774558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2022131142024 its reverse (4202411312202), we get a palindrome (6224542454226).

The spelling of 2022131142024 in words is "two trillion, twenty-two billion, one hundred thirty-one million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 467 934 1401 1868 2802 3269 3736 5604 6538 9807 11208 13076 19614 26152 39228 78456 25774079 51548158 77322237 103096316 154644474 180418553 206192632 309288948 360837106 541255659 618577896 721674212 1082511318 1443348424 2165022636 4330045272 12036494893 24072989786 36109484679 48145979572 72218969358 84255464251 96291959144 144437938716 168510928502 252766392753 288875877432 337021857004 505532785506 674043714008 1011065571012 2022131142024