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2331681120 = 253352331757
BaseRepresentation
bin1000101011111010…
…1010000101100000
320000111110200012000
42022332222011200
514233402243440
61023212004000
7111531651066
oct21276520540
96014420160
102331681120
11a9719a59a
12550a60600
132b20b8392
14181958036
15d9a7d730
hex8afaa160

2331681120 has 384 divisors, whose sum is σ = 8802017280. Its totient is φ = 574801920.

The previous prime is 2331681103. The next prime is 2331681127. The reversal of 2331681120 is 211861332.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331681127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3079782 + ... + 3080538.

It is an arithmetic number, because the mean of its divisors is an integer number (22921920).

Almost surely, 22331681120 is an apocalyptic number.

2331681120 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 2331681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401008640).

2331681120 is an abundant number, since it is smaller than the sum of its proper divisors (6470336160).

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

2331681120 is a wasteful number, since it uses less digits than its factorization.

2331681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2331681120 is about 48287.4840926715. The cubic root of 2331681120 is about 1326.0392691223.

The spelling of 2331681120 in words is "two billion, three hundred thirty-one million, six hundred eighty-one thousand, one hundred twenty".