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22220222212221 = 31121011193508019
BaseRepresentation
bin1010000110101100011000…
…11100111010100001111101
32220200020021111020212020020
411003112030130322201331
510403024003341242341
6115131455033242353
74452233551316625
oct503261434724175
986606244225206
1022220222212221
1170975a8182400
1225aa5175633b9
13c524865a5507
1456b6707d9885
15287eeb7e9566
hex14358c73a87d

22220222212221 has 48 divisors (see below), whose sum is σ = 32915233552320. Its totient is φ = 13322264032000.

The previous prime is 22220222212213. The next prime is 22220222212241. The reversal of 22220222212221 is 12221222202222.

It is not a de Polignac number, because 22220222212221 - 23 = 22220222212213 is a prime.

It is a super-2 number, since 2×222202222122212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22220222212191 and 22220222212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220222212241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43484950 + ... + 43992968.

It is an arithmetic number, because the mean of its divisors is an integer number (685734032340).

Almost surely, 222220222212221 is an apocalyptic number.

It is an amenable number.

22220222212221 is a deficient number, since it is larger than the sum of its proper divisors (10695011340099).

22220222212221 is a wasteful number, since it uses less digits than its factorization.

22220222212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509338 (or 509327 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22220222212221 its reverse (12221222202222), we get a palindrome (34441444414443).

Subtracting from 22220222212221 its reverse (12221222202222), we obtain a palindrome (9999000009999).

The spelling of 22220222212221 in words is "twenty-two trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 1193 3333 3579 12221 13123 36663 39369 120493 144353 361479 433059 508019 1325423 1524057 3976269 5588209 14579653 16764627 43738959 51309919 61470299 153929757 184410897 564409109 606066667 1693227327 1818200001 6208500199 6666733337 18625500597 20000200011 61212733367 73334066707 183638200101 220002200121 673340067037 2020020201111 7406740737407 22220222212221