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2245325000 = 23551929163
BaseRepresentation
bin1000010111010100…
…1111000011001000
312210110222022212012
42011311033003020
514044300400000
61010445035052
7106432643012
oct20565170310
95713868765
102245325000
11a524779a6
12527b55a88
1329a240b99
141742b91b2
15d21c1735
hex85d4f0c8

2245325000 has 192 divisors, whose sum is σ = 5765256000. Its totient is φ = 816480000.

The previous prime is 2245324999. The next prime is 2245325011. The reversal of 2245325000 is 5235422.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13774919 + ... + 13775081.

It is an arithmetic number, because the mean of its divisors is an integer number (30027375).

Almost surely, 22245325000 is an apocalyptic number.

2245325000 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 2245325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882628000).

2245325000 is an abundant number, since it is smaller than the sum of its proper divisors (3519931000).

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

2245325000 is a wasteful number, since it uses less digits than its factorization.

2245325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 2245325000 is about 47384.8604514142. The cubic root of 2245325000 is about 1309.4625147750.

The spelling of 2245325000 in words is "two billion, two hundred forty-five million, three hundred twenty-five thousand".