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2022024042 = 2321931269709
BaseRepresentation
bin111100010000101…
…1010001101101010
312012220210110112100
41320201122031222
513120114232132
6532350554230
7101051630553
oct17041321552
95186713470
102022024042
1194841a655
12485208976
13262bb8b3c
1415278d32a
15bc7b337c
hex7885a36a

2022024042 has 96 divisors (see below), whose sum is σ = 4784832000. Its totient is φ = 614770560.

The previous prime is 2022024031. The next prime is 2022024049. The reversal of 2022024042 is 2404202202.

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

It is not an unprimeable number, because it can be changed into a prime (2022024049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2851584 + ... + 2852292.

It is an arithmetic number, because the mean of its divisors is an integer number (49842000).

Almost surely, 22022024042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022024042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392416000).

2022024042 is an abundant number, since it is smaller than the sum of its proper divisors (2762807958).

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

2022024042 is a wasteful number, since it uses less digits than its factorization.

2022024042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2022024042 is about 44966.9216424696. The cubic root of 2022024042 is about 1264.5289360328.

Adding to 2022024042 its reverse (2404202202), we get a palindrome (4426226244).

The spelling of 2022024042 in words is "two billion, twenty-two million, twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 269 279 342 538 558 589 709 807 1178 1418 1614 1767 2127 2421 3534 4254 4842 5111 5301 6381 8339 10222 10602 12762 13471 15333 16678 21979 25017 26942 30666 40413 43958 45999 50034 65937 75051 80826 91998 121239 131874 150102 158441 190721 197811 242478 316882 381442 395622 417601 475323 572163 835202 950646 1144326 1252803 1425969 1716489 2505606 2851938 3432978 3623699 3758409 5912351 7247398 7516818 10871097 11824702 17737053 21742194 32613291 35474106 53211159 65226582 106422318 112334669 224669338 337004007 674008014 1011012021 2022024042