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2245320000 = 263654711
BaseRepresentation
bin1000010111010100…
…1101110101000000
312210110222002000000
42011311031311000
514044300220000
61010445000000
7106432622310
oct20565156500
95713862000
102245320000
11a52474170
12527b53000
1329a23b821
141742b7440
15d21c0000
hex85d4dd40

2245320000 has 980 divisors, whose sum is σ = 10407493536. Its totient is φ = 466560000.

The previous prime is 2245319981. The next prime is 2245320001. The reversal of 2245320000 is 235422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245320001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 204119995 + ... + 204120005.

Almost surely, 22245320000 is an apocalyptic number.

2245320000 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 2245320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203746768).

2245320000 is an abundant number, since it is smaller than the sum of its proper divisors (8162173536).

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

2245320000 is an frugal number, since it uses more digits than its factorization.

2245320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2245320000 is about 47384.8076919175. The cubic root of 2245320000 is about 1309.4615427825.

Adding to 2245320000 its reverse (235422), we get a palindrome (2245555422).

The spelling of 2245320000 in words is "two billion, two hundred forty-five million, three hundred twenty thousand".