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2242334332422 = 2323137132182217
BaseRepresentation
bin100000101000010101100…
…010101001011000000110
321221100212010122110001100
4200220111202221120012
5243214300042114142
64434040354440530
7321001064225532
oct40502542513006
97840763573040
102242334332422
11794a72300578
123026b5293146
131335b343bb92
147a75b186bc2
153d4dcd3cb4c
hex20a158a9606

2242334332422 has 96 divisors (see below), whose sum is σ = 5154618703104. Its totient is φ = 703242777600.

The previous prime is 2242334332363. The next prime is 2242334332429.

2242334332422 is a `hidden beast` number, since 2 + 242 + 3 + 343 + 32 + 42 + 2 = 666.

2242334332422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242334332429) 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, 27232258 + ... + 27314474.

It is an arithmetic number, because the mean of its divisors is an integer number (53693944824).

Almost surely, 22242334332422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242334332422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577309351552).

2242334332422 is an abundant number, since it is smaller than the sum of its proper divisors (2912284370682).

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

2242334332422 is a wasteful number, since it uses less digits than its factorization.

2242334332422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83614 (or 83611 counting only the distinct ones).

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

The spelling of 2242334332422 in words is "two trillion, two hundred forty-two billion, three hundred thirty-four million, three hundred thirty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 1321 2294 2642 3441 3963 6882 7926 10323 11889 20646 23778 40951 48877 81902 82217 97754 122853 146631 164434 245706 246651 293262 368559 439893 493302 737118 739953 879786 1479906 1515187 2548727 3030374 3042029 4545561 5097454 6084058 7646181 9091122 9126087 13636683 15292362 18252174 22938543 27273366 27378261 45877086 54756522 94302899 108608657 188605798 217217314 282908697 325825971 565817394 651651942 848726091 977477913 1697452182 1954955826 3366868367 4018520309 6733736734 8037040618 10100605101 12055560927 20201210202 24111121854 30301815303 36166682781 60603630606 72333365562 124574129579 249148259158 373722388737 747444777474 1121167166211 2242334332422