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2226325000 = 23551943109
BaseRepresentation
bin1000010010110011…
…0000011000001000
312202011020000202111
42010230300120020
514024414400000
61004525512104
7106112310304
oct20454603010
95664200674
102226325000
11a4277aa19
12521712634
1329631a993
14171970d04
15d06bbcba
hex84b30608

2226325000 has 192 divisors, whose sum is σ = 5671512000. Its totient is φ = 816480000.

The previous prime is 2226324967. The next prime is 2226325007. The reversal of 2226325000 is 5236222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2226325007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20424946 + ... + 20425054.

It is an arithmetic number, because the mean of its divisors is an integer number (29539125).

Almost surely, 22226325000 is an apocalyptic number.

2226325000 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 2226325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835756000).

2226325000 is an abundant number, since it is smaller than the sum of its proper divisors (3445187000).

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

2226325000 is a wasteful number, since it uses less digits than its factorization.

2226325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2226325000 is about 47183.9485418505. The cubic root of 2226325000 is about 1305.7584782580.

The spelling of 2226325000 in words is "two billion, two hundred twenty-six million, three hundred twenty-five thousand".