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2330010144 = 253371135023
BaseRepresentation
bin1000101011100001…
…0010001000100000
320000101022210001000
42022320102020200
514232440311034
61023112112000
7111511521330
oct21270221040
96011283030
102330010144
11a96259120
12550395600
132b1951937
141816410c0
15d984d599
hex8ae12220

2330010144 has 192 divisors, whose sum is σ = 8473006080. Its totient is φ = 605180160.

The previous prime is 2330010079. The next prime is 2330010173. The reversal of 2330010144 is 4410100332.

It is a super-2 number, since 2×23300101442 = 10857894542285801472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49017 + ... + 84039.

It is an arithmetic number, because the mean of its divisors is an integer number (44130240).

Almost surely, 22330010144 is an apocalyptic number.

2330010144 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 2330010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236503040).

2330010144 is an abundant number, since it is smaller than the sum of its proper divisors (6142995936).

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

2330010144 is a wasteful number, since it uses less digits than its factorization.

2330010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35060 (or 35046 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2330010144 is about 48270.1786199305. The cubic root of 2330010144 is about 1325.7224291549.

Adding to 2330010144 its reverse (4410100332), we get a palindrome (6740110476).

The spelling of 2330010144 in words is "two billion, three hundred thirty million, ten thousand, one hundred forty-four".