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2022021412434 = 23473574929741
BaseRepresentation
bin11101011011001001110…
…111100011011001010010
321011022012011000111210000
4131123021313203121102
5231112044440144214
64144523120150430
7266041401264462
oct35331167433122
97138164014700
102022021412434
1170a5974119a1
12287a6aa68416
131188a297262a
146dc1b405ba2
15378e643a809
hex1d6c9de3652

2022021412434 has 80 divisors (see below), whose sum is σ = 4593845223000. Its totient is φ = 664636181760.

The previous prime is 2022021412409. The next prime is 2022021412483. The reversal of 2022021412434 is 4342141202202.

It is a happy number.

2022021412434 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 0 + 214 + 12 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1619625296025 + 402396116409 = 1272645^2 + 634347^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2022021412398 and 2022021412407.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 67972804 + ... + 68002544.

Almost surely, 22022021412434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022021412434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296922611500).

2022021412434 is an abundant number, since it is smaller than the sum of its proper divisors (2571823810566).

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

2022021412434 is a wasteful number, since it uses less digits than its factorization.

2022021412434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35577 (or 35568 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2022021412434 its reverse (4342141202202), we get a palindrome (6364162614636).

The spelling of 2022021412434 in words is "two trillion, twenty-two billion, twenty-one million, four hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5749 5913 11498 11826 17247 29741 34494 51741 59482 89223 103482 155223 178446 267669 310446 419677 465669 535338 803007 839354 931338 1259031 1606014 2171093 2409021 2518062 3777093 4342186 4818042 6513279 7554186 11331279 13026558 19539837 22662558 33993837 39079674 58619511 67987674 117239022 170981009 175858533 341962018 351717066 512943027 1025886054 1538829081 3077658162 4616487243 9232974486 12481613657 13849461729 24963227314 27698923458 37444840971 74889681942 112334522913 224669045826 337003568739 674007137478 1011010706217 2022021412434