Search a number
-
+
22110202132220 = 2252972733524123
BaseRepresentation
bin1010000011011111011101…
…01111100111011011111100
32220021201022000001201021102
411001233232233213123330
510344223143221212340
6115005141525152232
74441260264135116
oct501575657473374
986251260051242
1022110202132220
11705497a767954
122591131b5b678
13c44ca1b97967
145661d4aaa3b6
1528520ca87215
hex141beebe76fc

22110202132220 has 48 divisors (see below), whose sum is σ = 48033260120160. Its totient is φ = 8538978852096.

The previous prime is 22110202132219. The next prime is 22110202132229. The reversal of 22110202132220 is 2223120201122.

It is a super-4 number, since 4×221102021322204 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22110202132192 and 22110202132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110202132229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41923079 + ... + 42447201.

It is an arithmetic number, because the mean of its divisors is an integer number (1000692919170).

Almost surely, 222110202132220 is an apocalyptic number.

22110202132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110202132220 is an abundant number, since it is smaller than the sum of its proper divisors (25923057987940).

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

22110202132220 is a wasteful number, since it uses less digits than its factorization.

22110202132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596894 (or 596892 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22110202132220 its reverse (2223120201122), we get a palindrome (24333322333342).

The spelling of 22110202132220 in words is "twenty-two trillion, one hundred ten billion, two hundred two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 72733 145466 290932 363665 524123 727330 1048246 1454660 2096492 2109257 2620615 4218514 5241230 8437028 10482460 10546285 15199567 21092570 30399134 42185140 60798268 75997835 151995670 303991340 38121038159 76242076318 152484152636 190605190795 381210381590 762420763180 1105510106611 2211020213222 4422040426444 5527550533055 11055101066110 22110202132220