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2303230464 = 2934193779
BaseRepresentation
bin1000100101001000…
…1000001000000000
312221111221020020000
42021102020020000
514204111333324
61020314120000
7111035064423
oct21122101000
95844836200
102303230464
11a82128157
12543420000
132a9236682
1417bc6d9ba
15d730d9c9
hex89488200

2303230464 has 400 divisors, whose sum is σ = 7526006400. Its totient is φ = 698720256.

The previous prime is 2303230463. The next prime is 2303230469. The reversal of 2303230464 is 4640323032.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2303230463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29154777 + ... + 29154855.

It is an arithmetic number, because the mean of its divisors is an integer number (18815016).

Almost surely, 22303230464 is an apocalyptic number.

2303230464 is a gapful number since it is divisible by the number (24) 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 2303230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763003200).

2303230464 is an abundant number, since it is smaller than the sum of its proper divisors (5222775936).

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

2303230464 is an equidigital number, since it uses as much as digits as its factorization.

2303230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 2303230464 is about 47991.9833305522. The cubic root of 2303230464 is about 1320.6238373569.

Adding to 2303230464 its reverse (4640323032), we get a palindrome (6943553496).

The spelling of 2303230464 in words is "two billion, three hundred three million, two hundred thirty thousand, four hundred sixty-four".