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2211222020000 = 2554722256349
BaseRepresentation
bin100000001011010111000…
…110100101111110100000
321211101112212100012212212
4200023113012211332200
5242212040314120000
64411453225541252
7315520100023400
oct40132706457640
97741485305785
102211222020000
11782857202784
122b8671944828
131306957a4b66
1479049116800
153c7bb749c35
hex202d71a5fa0

2211222020000 has 180 divisors, whose sum is σ = 6328093775850. Its totient is φ = 758132928000.

The previous prime is 2211222019967. The next prime is 2211222020009. The reversal of 2211222020000 is 202221122.

It can be written as a sum of positive squares in 5 ways, for example, as 242824243984 + 1968397776016 = 492772^2 + 1402996^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2211222020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 148175 + ... + 2108174.

Almost surely, 22211222020000 is an apocalyptic number.

2211222020000 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 2211222020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164046887925).

2211222020000 is an abundant number, since it is smaller than the sum of its proper divisors (4116871755850).

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

2211222020000 is an equidigital number, since it uses as much as digits as its factorization.

2211222020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256393 (or 2256363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2211222020000 its reverse (202221122), we get a palindrome (2211424241122).

The spelling of 2211222020000 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, twenty thousand".