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2303082720 = 253451947199
BaseRepresentation
bin1000100101000110…
…0100000011100000
312221111122201120000
42021101210003200
514204042121340
61020311020000
7111033610611
oct21121440340
95844581500
102303082720
11a82037154
1254336a600
132a91b4353
1417bc31c08
15d72ced30
hex894640e0

2303082720 has 480 divisors, whose sum is σ = 8781696000. Its totient is φ = 566590464.

The previous prime is 2303082707. The next prime is 2303082731. The reversal of 2303082720 is 272803032.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11573181 + ... + 11573379.

It is an arithmetic number, because the mean of its divisors is an integer number (18295200).

Almost surely, 22303082720 is an apocalyptic number.

2303082720 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 2303082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848000).

2303082720 is an abundant number, since it is smaller than the sum of its proper divisors (6478613280).

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

2303082720 is a wasteful number, since it uses less digits than its factorization.

2303082720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2303082720 is about 47990.4440487895. Note that the first 3 decimals coincide. The cubic root of 2303082720 is about 1320.5955989871.

Adding to 2303082720 its reverse (272803032), we get a palindrome (2575885752).

The spelling of 2303082720 in words is "two billion, three hundred three million, eighty-two thousand, seven hundred twenty".