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2330624664 = 233919241
BaseRepresentation
bin1000101011101010…
…1000001010011000
320000102111000000000
42022322220022120
514233114442124
61023133213000
7111516661044
oct21272501230
96012430000
102330624664
11a96638895
12550631160
132b1b08564
14181761024
15d99206c9
hex8aea8298

2330624664 has 240 divisors, whose sum is σ = 7086645720. Its totient is φ = 718035840.

The previous prime is 2330624657. The next prime is 2330624689. The reversal of 2330624664 is 4664260332.

2330624664 is a `hidden beast` number, since 23 + 3 + 0 + 624 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×23306246642 = 10863622648890225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 56844484 + ... + 56844524.

Almost surely, 22330624664 is an apocalyptic number.

2330624664 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 2330624664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543322860).

2330624664 is an abundant number, since it is smaller than the sum of its proper divisors (4756021056).

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

2330624664 is an frugal number, since it uses more digits than its factorization.

2330624664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 2330624664 is about 48276.5436211003. The cubic root of 2330624664 is about 1325.8389681805.

Adding to 2330624664 its reverse (4664260332), we get a palindrome (6994884996).

The spelling of 2330624664 in words is "two billion, three hundred thirty million, six hundred twenty-four thousand, six hundred sixty-four".