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2330011040 = 255719223491
BaseRepresentation
bin1000101011100001…
…0010010110100000
320000101022211021012
42022320102112200
514232440323130
61023112120052
7111511524050
oct21270222640
96011284235
102330011040
11a96259865
12550396028
132b1952176
14181641560
15d984d995
hex8ae125a0

2330011040 has 192 divisors, whose sum is σ = 6665379840. Its totient is φ = 751887360.

The previous prime is 2330011037. The next prime is 2330011043. The reversal of 2330011040 is 401100332.

It is an interprime number because it is at equal distance from previous prime (2330011037) and next prime (2330011043).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2330011043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4745195 + ... + 4745685.

It is an arithmetic number, because the mean of its divisors is an integer number (34715520).

Almost surely, 22330011040 is an apocalyptic number.

2330011040 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 2330011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332689920).

2330011040 is an abundant number, since it is smaller than the sum of its proper divisors (4335368800).

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

2330011040 is a wasteful number, since it uses less digits than its factorization.

2330011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2330011040 is about 48270.1879010223. The cubic root of 2330011040 is about 1325.7225990893.

Adding to 2330011040 its reverse (401100332), we get a palindrome (2731111372).

The spelling of 2330011040 in words is "two billion, three hundred thirty million, eleven thousand, forty".