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221021122022022 = 237191889571465777
BaseRepresentation
bin110010010000010001111101…
…011101110100101010000110
31001222120102011000022212211010
4302100101331131310222012
5212432202224214201042
62102023411324223050
764361151305325540
oct6220217535645206
91058512130285733
10221021122022022
1164473593411023
122095745a69aa86
13964328280761a
143c8169d602690
151a843eeb8d59c
hexc9047d774a86

221021122022022 has 64 divisors (see below), whose sum is σ = 531783320302080. Its totient is φ = 59824908688896.

The previous prime is 221021122021979. The next prime is 221021122022027. The reversal of 221021122022022 is 220220221120122.

It is a super-4 number, since 4×2210211220220224 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 221021122022022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221021122022027) 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 31 ways as a sum of consecutive naturals, for example, 150054798 + ... + 151520574.

It is an arithmetic number, because the mean of its divisors is an integer number (8309114379720).

Almost surely, 2221021122022022 is an apocalyptic number.

221021122022022 is an abundant number, since it is smaller than the sum of its proper divisors (310762198280058).

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

221021122022022 is a wasteful number, since it uses less digits than its factorization.

221021122022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654765.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221021122022022 its reverse (220220221120122), we get a palindrome (441241343142144).

The spelling of 221021122022022 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred twenty-two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 188957 377914 566871 1133742 1322699 1465777 2645398 2931554 3590183 3968097 4397331 7180366 7936194 8794662 10260439 10770549 20520878 21541098 25131281 27849763 30781317 50262562 55699526 61562634 75393843 83549289 150787686 167098578 194948341 389896682 584845023 1169690046 276968824589 553937649178 830906473767 1661812947534 1938781772123 3877563544246 5262407667191 5816345316369 10524815334382 11632690632738 15787223001573 31574446003146 36836853670337 73673707340674 110510561011011 221021122022022