Search a number
-
+
2122064306262 = 23367691184869
BaseRepresentation
bin11110111000010100111…
…000111010000001010110
321111212102022101002022000
4132320110320322001112
5234231441430300022
64302510214420130
7306212505663045
oct36702470720126
97455368332260
102122064306262
11748a64a8483a
122a332b061646
1312515731cb24
14749cc03055c
153a2ee2e96ac
hex1ee14e3a056

2122064306262 has 64 divisors (see below), whose sum is σ = 4786830950400. Its totient is φ = 696688201440.

The previous prime is 2122064306237. The next prime is 2122064306281. The reversal of 2122064306262 is 2626034602212.

2122064306262 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 643 + 0 + 6 + 2 + 6 + 2 = 666.

It is a super-2 number, since 2×21220643062622 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24961564 + ... + 25046432.

It is an arithmetic number, because the mean of its divisors is an integer number (74794233600).

Almost surely, 22122064306262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122064306262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393415475200).

2122064306262 is an abundant number, since it is smaller than the sum of its proper divisors (2664766644138).

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

2122064306262 is a wasteful number, since it uses less digits than its factorization.

2122064306262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91858 (or 91852 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 2122064306262 its reverse (2626034602212), we get a palindrome (4748098908474).

The spelling of 2122064306262 in words is "two trillion, one hundred twenty-two billion, sixty-four million, three hundred six thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 6911 13822 20733 41466 62199 84869 124398 169738 186597 254607 373194 463037 509214 763821 926074 1389111 1527642 2291463 2778222 4167333 4582926 5686223 8334666 11372446 12501999 17058669 25003998 34117338 51176007 102352014 153528021 307056042 586529659 1173059318 1759588977 3519177954 5278766931 10557533862 15836300793 31672601586 39297487153 78594974306 117892461459 235784922918 353677384377 707354768754 1061032153131 2122064306262