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834225522438 = 2372111012554007
BaseRepresentation
bin11000010001110111011…
…01110100011100000110
32221202021121111102102210
430020323231310130012
5102131443213204223
61435123220044250
7114161612641200
oct14107355643406
92852247442383
10834225522438
112a187a617330
12115818533686
13608898b53b9
142c53ba6b770
1516a77d8c893
hexc23bb74706

834225522438 has 96 divisors (see below), whose sum is σ = 2138256361728. Its totient is φ = 214536504000.

The previous prime is 834225522437. The next prime is 834225522439.

834225522438 is nontrivially palindromic in base 10.

834225522438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (834225522437) and next prime (834225522439).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (834225522437) 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, 950370 + ... + 1603637.

It is an arithmetic number, because the mean of its divisors is an integer number (22273503768).

Almost surely, 2834225522438 is an apocalyptic number.

834225522438 is an abundant number, since it is smaller than the sum of its proper divisors (1304030839290).

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

834225522438 is a wasteful number, since it uses less digits than its factorization.

834225522438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554138 (or 2554131 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 834225522438 in words is "eight hundred thirty-four billion, two hundred twenty-five million, five hundred twenty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 101 147 154 202 231 294 303 462 539 606 707 1078 1111 1414 1617 2121 2222 3234 3333 4242 4949 6666 7777 9898 14847 15554 23331 29694 46662 54439 108878 163317 326634 2554007 5108014 7662021 15324042 17878049 28094077 35756098 53634147 56188154 84282231 107268294 125146343 168564462 196658539 250292686 257954707 375439029 393317078 515909414 589975617 750878058 773864121 1179951234 1376609773 1547728242 1805682949 2753219546 2837501777 3611365898 4129829319 5417048847 5675003554 8259658638 8512505331 10834097694 12639780643 17025010662 19862512439 25279561286 37919341929 39725024878 59587537317 75838683858 119175074634 139037587073 278075174146 417112761219 834225522438