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222302203221132 = 223379151907190243
BaseRepresentation
bin110010100010111011000011…
…110110110001010010001100
31002011002212211202121200011000
4302202323003312301102030
5213114144403011034012
62104444120004300300
764552542555003306
oct6242730366612214
91064085752550130
10222302203221132
1164917920348081
1220b237a60a1690
139707014224408
143cc76ac30c976
151aa78ccc17ddc
hexca2ec3db148c

222302203221132 has 192 divisors, whose sum is σ = 588150436249600. Its totient is φ = 72597716942400.

The previous prime is 222302203221101. The next prime is 222302203221173. The reversal of 222302203221132 is 231122302203222.

222302203221132 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 0 + 220 + 322 + 113 + 2 = 666.

It is a super-2 number, since 2×2223022032211322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222302203221096 and 222302203221105.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1168422003 + ... + 1168612245.

Almost surely, 2222302203221132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222302203221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294075218124800).

222302203221132 is an abundant number, since it is smaller than the sum of its proper divisors (365848233028468).

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

222302203221132 is a wasteful number, since it uses less digits than its factorization.

222302203221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191393 (or 191385 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 222302203221132 its reverse (231122302203222), we get a palindrome (453424505424354).

The spelling of 222302203221132 in words is "two hundred twenty-two trillion, three hundred two billion, two hundred three million, two hundred twenty-one thousand, one hundred thirty-two".