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2300220000 = 25325413983
BaseRepresentation
bin1000100100011010…
…1001001001100000
312221022021021122100
42021012221021200
514202324020000
61020125410400
7111000355521
oct21106511140
95838237570
102300220000
11a80461371
12542409a00
132a8721330
1417b6c8848
15d6e16a00
hex891a9260

2300220000 has 360 divisors, whose sum is σ = 8811666864. Its totient is φ = 565632000.

The previous prime is 2300219963. The next prime is 2300220023. The reversal of 2300220000 is 220032.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2339509 + ... + 2340491.

Almost surely, 22300220000 is an apocalyptic number.

2300220000 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 2300220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405833432).

2300220000 is an abundant number, since it is smaller than the sum of its proper divisors (6511446864).

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

2300220000 is a wasteful number, since it uses less digits than its factorization.

2300220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2300220000 is about 47960.6088368361. The cubic root of 2300220000 is about 1320.0482076058.

Adding to 2300220000 its reverse (220032), we get a palindrome (2300440032).

The spelling of 2300220000 in words is "two billion, three hundred million, two hundred twenty thousand".