Search a number
-
+
22137566286234 = 23721071375136629
BaseRepresentation
bin1010000100010010011011…
…10001100101000110011010
32220101022221001112202201010
411002021031301211012122
510400200213432124414
6115025505122034350
74443246346455600
oct502111561450632
986338831482633
1022137566286234
117065542052873
1225964aa1a89b6
13c47743148c79
1456766d021870
15285cb009e959
hex14224dc6519a

22137566286234 has 96 divisors (see below), whose sum is σ = 52364532127680. Its totient is φ = 6220168856832.

The previous prime is 22137566286191. The next prime is 22137566286259. The reversal of 22137566286234 is 43268266573122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1741432 + ... + 6878060.

It is an arithmetic number, because the mean of its divisors is an integer number (545463876330).

Almost surely, 222137566286234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22137566286234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26182266063840).

22137566286234 is an abundant number, since it is smaller than the sum of its proper divisors (30226965841446).

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

22137566286234 is a wasteful number, since it uses less digits than its factorization.

22137566286234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136892 (or 5136885 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 57.

The spelling of 22137566286234 in words is "twenty-two trillion, one hundred thirty-seven billion, five hundred sixty-six million, two hundred eighty-six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 107 137 147 214 274 294 321 411 642 749 822 959 1498 1918 2247 2877 4494 5243 5754 6713 10486 13426 14659 15729 20139 29318 31458 40278 43977 87954 102613 205226 307839 615678 718291 1436582 2154873 4309746 5136629 10273258 15409887 30819774 35956403 71912806 107869209 215738418 251694821 503389642 549619303 703718173 755084463 1099238606 1407436346 1510168926 1648857909 2111154519 3297715818 3847335121 4222309038 4926027211 7694670242 9852054422 11542005363 14778081633 23084010726 26931345847 29556163266 34482190477 53862691694 68964380954 75297844511 80794037541 103446571431 150595689022 161588075082 206893142862 225893533533 451787067066 527084911577 1054169823154 1581254734731 3162509469462 3689594381039 7379188762078 11068783143117 22137566286234