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2331000000 = 263256737
BaseRepresentation
bin1000101011110000…
…0011110011000000
320000110012001212100
42022330003303000
514233214000000
61023145230400
7111523113240
oct21274036300
96013161770
102331000000
11a9687488a
12550792400
132b1c0a354
1418181bb20
15d9996a00
hex8af03cc0

2331000000 has 588 divisors, whose sum is σ = 9802687024. Its totient is φ = 518400000.

The previous prime is 2330999981. The next prime is 2331000013. The reversal of 2331000000 is 1332.

It is a happy number.

It is a super-2 number, since 2×23310000002 = 10867122000000000000, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 62999982 + ... + 63000018.

Almost surely, 22331000000 is an apocalyptic number.

2331000000 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 2331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901343512).

2331000000 is an abundant number, since it is smaller than the sum of its proper divisors (7471687024).

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

2331000000 is an frugal number, since it uses more digits than its factorization.

2331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2331000000 is about 48280.4308182932. The cubic root of 2331000000 is about 1325.9101377102.

Adding to 2331000000 its reverse (1332), we get a palindrome (2331001332).

The spelling of 2331000000 in words is "two billion, three hundred thirty-one million", and thus it is an aban number.