Search a number
-
+
22061064112300 = 22522949671531561
BaseRepresentation
bin1010000010000011111011…
…11000111100100010101100
32220010000110111012200000201
411001001331320330202230
510342422024403043200
6114530413555003244
74434600506640613
oct501017570744254
986100414180021
1022061064112300
117036054619234
1225836b9899524
13c4047089c125
14563a92a3a87a
15283cd3c0dc6a
hex14107de3c8ac

22061064112300 has 72 divisors (see below), whose sum is σ = 49533288104160. Its totient is φ = 8518414195200.

The previous prime is 22061064112247. The next prime is 22061064112301. The reversal of 22061064112300 is 321146016022.

It is a super-2 number, since 2×220610641123002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22061064112301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13638520 + ... + 15170080.

It is an arithmetic number, because the mean of its divisors is an integer number (687962334780).

Almost surely, 222061064112300 is an apocalyptic number.

22061064112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22061064112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766644052080).

22061064112300 is an abundant number, since it is smaller than the sum of its proper divisors (27472223991860).

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

22061064112300 is a wasteful number, since it uses less digits than its factorization.

22061064112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536571 (or 1536564 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 22061064112300 in words is "twenty-two trillion, sixty-one billion, sixty-four million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4967 9934 19868 24835 49670 99340 124175 144043 248350 288086 496700 576172 720215 1440430 1531561 2880860 3063122 3601075 6126244 7202150 7657805 14404300 15315610 30631220 38289025 44415269 76578050 88830538 153156100 177661076 222076345 444152690 888305380 1110381725 2220763450 4441526900 7607263487 15214526974 30429053948 38036317435 76072634870 152145269740 190181587175 220610641123 380363174350 441221282246 760726348700 882442564492 1103053205615 2206106411230 4412212822460 5515266028075 11030532056150 22061064112300