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222121002020202 = 2361775411188377
BaseRepresentation
bin110010100000010010010011…
…011011000010110101101010
31002010110120010112120221000000
4302200102103123002311222
5213103212303004121302
62104224551333523430
764533466332133545
oct6240222333026552
91063416115527000
10222121002020202
1164857a95a5995a
1220ab46561a3576
1396c2bc7787bac
143cbc9dcb8d85c
151aa2d24d3831c
hexca04936c2d6a

222121002020202 has 112 divisors (see below), whose sum is σ = 528999246115272. Its totient is φ = 69675720791040.

The previous prime is 222121002020201. The next prime is 222121002020213. The reversal of 222121002020202 is 202020200121222.

It can be written as a sum of positive squares in 4 ways, for example, as 159659625651201 + 62461376369001 = 12635649^2 + 7903251^2 .

It is a super-2 number, since 2×2221210020202022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222121002020201) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186317038 + ... + 187505414.

Almost surely, 2222121002020202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222121002020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264499623057636).

222121002020202 is an abundant number, since it is smaller than the sum of its proper divisors (306878244095070).

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

222121002020202 is a wasteful number, since it uses less digits than its factorization.

222121002020202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195955 (or 1195940 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222121002020202 its reverse (202020200121222), we get a palindrome (424141202141424).

The spelling of 222121002020202 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2754 4131 7541 8262 12393 15082 22623 24786 45246 67869 128197 135738 203607 256394 384591 407214 610821 769182 1153773 1188377 1221642 1832463 2307546 2376754 3461319 3565131 3664926 5497389 6922638 7130262 10383957 10695393 10994778 20202409 20767914 21390786 31151871 32086179 40404818 60607227 62303742 64172358 93455613 96258537 121214454 181821681 186911226 192517074 288775611 363643362 545465043 577551222 866326833 1090930086 1636395129 1732653666 3272790258 4909185387 8961550957 9818370774 14727556161 17923101914 26884652871 29455112322 53769305742 80653958613 152346366269 161307917226 241961875839 304692732538 457039098807 483923751678 725885627517 914078197614 1371117296421 1451771255034 2177656882551 2742234592842 4113351889263 4355313765102 6532970647653 8226703778526 12340055667789 13065941295306 24680111335578 37020167003367 74040334006734 111060501010101 222121002020202