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2234330244342 = 2327283304920551
BaseRepresentation
bin100000100000111000011…
…101011110010011110110
321220121012022112122100200
4200200320131132103312
5243101402020304332
64430234231221330
7320265533501010
oct40407035362366
97817168478320
102234330244342
117916351a0749
12301040817846
131329090c70a1
147a1dc1371b0
153d1c02d617c
hex2083875e4f6

2234330244342 has 96 divisors (see below), whose sum is σ = 5554268428800. Its totient is φ = 635884732800.

The previous prime is 2234330244323. The next prime is 2234330244347. The reversal of 2234330244342 is 2434420334322.

2234330244342 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 3 + 302 + 4 + 4 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2234330244297 and 2234330244306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234330244347) 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, 108710967 + ... + 108731517.

It is an arithmetic number, because the mean of its divisors is an integer number (57856962800).

Almost surely, 22234330244342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234330244342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777134214400).

2234330244342 is an abundant number, since it is smaller than the sum of its proper divisors (3319938184458).

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

2234330244342 is a wasteful number, since it uses less digits than its factorization.

2234330244342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23898 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 2234330244342 its reverse (2434420334322), we get a palindrome (4668750578664).

The spelling of 2234330244342 in words is "two trillion, two hundred thirty-four billion, three hundred thirty million, two hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 283 566 849 1698 1981 2547 3049 3962 5094 5943 6098 9147 11886 17829 18294 20551 21343 27441 35658 41102 42686 54882 61653 64029 123306 128058 143857 184959 192087 287714 369918 384174 431571 862867 863142 1294713 1725734 2588601 2589426 5177202 5815933 6040069 7765803 11631866 12080138 15531606 17447799 18120207 34895598 36240414 40711531 52343397 54360621 62659999 81423062 104686794 108721242 122134593 125319998 187979997 244269186 366403779 375959994 438619993 563939991 732807558 877239986 1127879982 1315859979 2631719958 3947579937 7895159874 17732779717 35465559434 53198339151 106396678302 124129458019 159595017453 248258916038 319190034906 372388374057 744776748114 1117165122171 2234330244342