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2202120023220 = 2233513419748669
BaseRepresentation
bin100000000010111000100…
…101001110110010110100
321210112001112022212121000
4200002320211032302310
5242034420211220340
64403350122323300
7315045405232545
oct40027045166264
97715045285530
102202120023220
11779a06386897
122b6951659530
1312c874b62250
14788243504cc
153c437621d30
hex200b894ecb4

2202120023220 has 192 divisors, whose sum is σ = 7395661728000. Its totient is φ = 540765891072.

The previous prime is 2202120023161. The next prime is 2202120023221. The reversal of 2202120023220 is 223200212022.

2202120023220 is a `hidden beast` number, since 220 + 2 + 1 + 200 + 23 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2202120023193 and 2202120023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202120023221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2567046 + ... + 3315714.

It is an arithmetic number, because the mean of its divisors is an integer number (38519071500).

Almost surely, 22202120023220 is an apocalyptic number.

2202120023220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202120023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697830864000).

2202120023220 is an abundant number, since it is smaller than the sum of its proper divisors (5193541704780).

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

2202120023220 is a wasteful number, since it uses less digits than its factorization.

2202120023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749119 (or 749111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2202120023220 its reverse (223200212022), we get a palindrome (2425320235242).

The spelling of 2202120023220 in words is "two trillion, two hundred two billion, one hundred twenty million, twenty-three thousand, two hundred twenty".